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You searched for `+publisher:"University of Illinois – Urbana-Champaign" +contributor:("Ruan, Zhong-Jin")`

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University of Illinois – Urbana-Champaign

1. Rezvani, Sepideh. Approximating rotation algebras and inclusions of C*-algebras.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/97307

► In the first part of this thesis, we will follow Kirchberg’s categorical perspective to establish new notions of WEP and QWEP relative to a C∗-algebra,…
(more)

Subjects/Keywords: C*-algebras; Weak expectation property (WEP); Quotient weak expectation property (QWEP); A-WEP; A-QWEP; Relatively weak injectivity; Order-unit space; Noncommutative tori; Compact quantum metric space; Conditionally negative length function; Heat semigroup; Poisson semigroup; Rotation algebra; Continuous field of compact quantum metric spaces; Gromov–Hausdorff distance; Completely bounded quantum Gromov–Hausdorff distance; Gromov–Hausdorff propinquity

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Rezvani, S. (2017). Approximating rotation algebras and inclusions of C*-algebras. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/97307

Chicago Manual of Style (16^{th} Edition):

Rezvani, Sepideh. “Approximating rotation algebras and inclusions of C*-algebras.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/97307.

MLA Handbook (7^{th} Edition):

Rezvani, Sepideh. “Approximating rotation algebras and inclusions of C*-algebras.” 2017. Web. 26 Sep 2020.

Vancouver:

Rezvani S. Approximating rotation algebras and inclusions of C*-algebras. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/97307.

Council of Science Editors:

Rezvani S. Approximating rotation algebras and inclusions of C*-algebras. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/97307

University of Illinois – Urbana-Champaign

2. Albar, Wafaa Abdullah. Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators.

Degree: PhD, Mathematics, 2017, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/98206

► This thesis is structured into two parts. In the first two chapters, we prove the non commutative version of the Arithmetic Geometric Mean (AGM) inequality…
(more)

Subjects/Keywords: Arithmetic geometric mean inequality (AGM); Random matrices; Ternary ring of operators (TRO); Crossed product of ternary ring of operators (TROs)

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Albar, W. A. (2017). Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/98206

Chicago Manual of Style (16^{th} Edition):

Albar, Wafaa Abdullah. “Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators.” 2017. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/98206.

MLA Handbook (7^{th} Edition):

Albar, Wafaa Abdullah. “Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators.” 2017. Web. 26 Sep 2020.

Vancouver:

Albar WA. Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2017. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/98206.

Council of Science Editors:

Albar WA. Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2017. Available from: http://hdl.handle.net/2142/98206

University of Illinois – Urbana-Champaign

3. Zeng, Qiang. Poincar�� inequalities in noncommutative Lp spaces.

Degree: PhD, 0439, 2014, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/50527

► Let (\mathcal{N},τ) be a noncommutative W^* probability space, where \mathcal{N} is a finite von Neumann algebra and τ is a normal faithful tracial state. Let…
(more)

Subjects/Keywords: noncommutative Lp spaces; Poincaré inequalities; $\Gamma_2$-criterion; martingale inequalities; Burkholder inequality; spectral gap; diffusion semigroups; transportation cost inequalities; law of the iterated logarithm; subgaussian concentration; 1-cocycle on groups; finite von Neumann algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Zeng, Q. (2014). Poincar�� inequalities in noncommutative Lp spaces. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/50527

Chicago Manual of Style (16^{th} Edition):

Zeng, Qiang. “Poincar�� inequalities in noncommutative Lp spaces.” 2014. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/50527.

MLA Handbook (7^{th} Edition):

Zeng, Qiang. “Poincar�� inequalities in noncommutative Lp spaces.” 2014. Web. 26 Sep 2020.

Vancouver:

Zeng Q. Poincar�� inequalities in noncommutative Lp spaces. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2014. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/50527.

Council of Science Editors:

Zeng Q. Poincar�� inequalities in noncommutative Lp spaces. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/50527

4. Zhao, Mingyu. Smoothing estimates for non commutative spaces.

Degree: PhD, Mathematics, 2018, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/101570

► In the first part of this thesis, we follow Varopoulos's perspective to establish the noncommutaive Sobolev inequaties (namely, Hardy-Littlewood-Sobolev inequalites), and extend the Sobolev embedding…
(more)

Subjects/Keywords: harmonic analysis; Hardy-Littlewood-Sobolev inequalities; Functional analysis; Operator space; Operator algebras; non-commutaive $L_p$ spaces

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Zhao, M. (2018). Smoothing estimates for non commutative spaces. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/101570

Chicago Manual of Style (16^{th} Edition):

Zhao, Mingyu. “Smoothing estimates for non commutative spaces.” 2018. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/101570.

MLA Handbook (7^{th} Edition):

Zhao, Mingyu. “Smoothing estimates for non commutative spaces.” 2018. Web. 26 Sep 2020.

Vancouver:

Zhao M. Smoothing estimates for non commutative spaces. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2018. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/101570.

Council of Science Editors:

Zhao M. Smoothing estimates for non commutative spaces. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2018. Available from: http://hdl.handle.net/2142/101570

5. Gao, Li. On quantum Euclidean spaces: Continuous deformation and pseudo-differential operators.

Degree: PhD, Mathematics, 2018, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/101546

► Quantum Euclidean spaces are noncommutative deformations of Euclidean spaces. They are prototypes of locally compact noncommutative manifolds in Noncommutative Geometry. In this thesis, we study…
(more)

Subjects/Keywords: Noncommutative Euclidean spaces; Moyal Deformation; Pseudo-differential operators

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Gao, L. (2018). On quantum Euclidean spaces: Continuous deformation and pseudo-differential operators. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/101546

Chicago Manual of Style (16^{th} Edition):

Gao, Li. “On quantum Euclidean spaces: Continuous deformation and pseudo-differential operators.” 2018. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/101546.

MLA Handbook (7^{th} Edition):

Gao, Li. “On quantum Euclidean spaces: Continuous deformation and pseudo-differential operators.” 2018. Web. 26 Sep 2020.

Vancouver:

Gao L. On quantum Euclidean spaces: Continuous deformation and pseudo-differential operators. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2018. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/101546.

Council of Science Editors:

Gao L. On quantum Euclidean spaces: Continuous deformation and pseudo-differential operators. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2018. Available from: http://hdl.handle.net/2142/101546

6. Liang, Jian. Operator-valued Kirchberg Theory and its connection to tensor norms and correspondences.

Degree: PhD, Mathematics, 2015, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/78377

► In this thesis, we will first follow Kirchberg’s categorical perspective to establish operator-valued WEP and QWEP. We develop similar properties as that in the classical…
(more)

Subjects/Keywords: Kirchberg; Module

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Liang, J. (2015). Operator-valued Kirchberg Theory and its connection to tensor norms and correspondences. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/78377

Chicago Manual of Style (16^{th} Edition):

Liang, Jian. “Operator-valued Kirchberg Theory and its connection to tensor norms and correspondences.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/78377.

MLA Handbook (7^{th} Edition):

Liang, Jian. “Operator-valued Kirchberg Theory and its connection to tensor norms and correspondences.” 2015. Web. 26 Sep 2020.

Vancouver:

Liang J. Operator-valued Kirchberg Theory and its connection to tensor norms and correspondences. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/78377.

Council of Science Editors:

Liang J. Operator-valued Kirchberg Theory and its connection to tensor norms and correspondences. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/78377

7. Yancey, Kelly. Uniformly rigid homeomorphisms.

Degree: PhD, 0439, 2013, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/45507

► In this dissertation we are interested in the study of dynamical systems that display rigidity and weak mixing. We are particularly interested in the topological…
(more)

Subjects/Keywords: weak mixing; topological weak mixing; rigid; uniformly rigid; ergodic theory; topological dynamics; generic; typical homeomorphisms

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Yancey, K. (2013). Uniformly rigid homeomorphisms. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/45507

Chicago Manual of Style (16^{th} Edition):

Yancey, Kelly. “Uniformly rigid homeomorphisms.” 2013. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/45507.

MLA Handbook (7^{th} Edition):

Yancey, Kelly. “Uniformly rigid homeomorphisms.” 2013. Web. 26 Sep 2020.

Vancouver:

Yancey K. Uniformly rigid homeomorphisms. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2013. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/45507.

Council of Science Editors:

Yancey K. Uniformly rigid homeomorphisms. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2013. Available from: http://hdl.handle.net/2142/45507

8. Park, Hyunchul. Potential theory of subordinate Brownian motions and their perturbations.

Degree: PhD, 0439, 2013, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/44247

► In this thesis, we study potential theoretic properties of harmonic functions and spectral problems of a large class of L\'evy processes using probabilistic techniques. In…
(more)

Subjects/Keywords: Subordinate Brownian motions; Perturbations; Green function; Boundary Harnack principle; Martin boundary; Minimal Martin boundary; Trace

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Park, H. (2013). Potential theory of subordinate Brownian motions and their perturbations. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/44247

Chicago Manual of Style (16^{th} Edition):

Park, Hyunchul. “Potential theory of subordinate Brownian motions and their perturbations.” 2013. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/44247.

MLA Handbook (7^{th} Edition):

Park, Hyunchul. “Potential theory of subordinate Brownian motions and their perturbations.” 2013. Web. 26 Sep 2020.

Vancouver:

Park H. Potential theory of subordinate Brownian motions and their perturbations. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2013. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/44247.

Council of Science Editors:

Park H. Potential theory of subordinate Brownian motions and their perturbations. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2013. Available from: http://hdl.handle.net/2142/44247

University of Illinois – Urbana-Champaign

9. Lee, Jung Jin. On p-operator spaces and their applications.

Degree: PhD, 0439, 2010, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/16714

► There have been a lot of research done on the relationship between locally compact groups and algebras associated with them. For example, Johnson proved that…
(more)

Subjects/Keywords: p-operator space; pseudofunction algebra; pseudomeasure algebra; Figa-Talamanca-Herz algebra

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Lee, J. J. (2010). On p-operator spaces and their applications. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/16714

Chicago Manual of Style (16^{th} Edition):

Lee, Jung Jin. “On p-operator spaces and their applications.” 2010. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/16714.

MLA Handbook (7^{th} Edition):

Lee, Jung Jin. “On p-operator spaces and their applications.” 2010. Web. 26 Sep 2020.

Vancouver:

Lee JJ. On p-operator spaces and their applications. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2010. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/16714.

Council of Science Editors:

Lee JJ. On p-operator spaces and their applications. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2010. Available from: http://hdl.handle.net/2142/16714

University of Illinois – Urbana-Champaign

10. Cooney, Thomas J. Noncommutative Lp-spaces associated with locally compact quantum groups.

Degree: PhD, 0439, 2010, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/16895

► Results from abstract harmonic analysis are extended to locally compact quantum groups by considering the noncommutative Lp-spaces associated with the locally compact quantum groups. Let…
(more)

Subjects/Keywords: Locally compact quantum groups; Noncommutative Lp-spaces; Noncommutative harmonic analysis; Fourier transform; Fourier multipliers; Hausdorff-Young inequality

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Cooney, T. J. (2010). Noncommutative Lp-spaces associated with locally compact quantum groups. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/16895

Chicago Manual of Style (16^{th} Edition):

Cooney, Thomas J. “Noncommutative Lp-spaces associated with locally compact quantum groups.” 2010. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed September 26, 2020. http://hdl.handle.net/2142/16895.

MLA Handbook (7^{th} Edition):

Cooney, Thomas J. “Noncommutative Lp-spaces associated with locally compact quantum groups.” 2010. Web. 26 Sep 2020.

Vancouver:

Cooney TJ. Noncommutative Lp-spaces associated with locally compact quantum groups. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2010. [cited 2020 Sep 26]. Available from: http://hdl.handle.net/2142/16895.

Council of Science Editors:

Cooney TJ. Noncommutative Lp-spaces associated with locally compact quantum groups. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2010. Available from: http://hdl.handle.net/2142/16895