Browse Dissertations and Theses - Mathematics by Contributor "Junge, Marius"

  • Rezvani, Sepideh (2017-04-06)
    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, and develop similar properties as in the classical WEP and QWEP. Also ...

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  • Avsec, Stephen (2012-09-18)
    The $q$-Gaussian von Neumann algebras were first defined and studied by Bo\.{z}ejko and Speicher in connection with noncommutative brownian motion. The main results of the present work is to establish that the $q$-Gaussian ...

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  • Eckhardt, Caleb (2009)
    The purpose of this work is to provide a clearer picture between traditional approximation properties of C*-algebras and the recent local approximations, via operator spaces, of nuclear C*-algebras introduced by Junge, ...

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  • Albar, Wafaa Abdullah (2017-07-11)
    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 (this is a joint work with Mingyue Zhao and Maruis Junge). We start ...

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  • Cooney, Thomas J. (2010-08-20)
    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 G be a locally compact abelian ...

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  • Miller, Jesse E. (2011-05-25)
    In this dissertation, a nonstandard approach to lifting theory developed by Bliedtner and Loeb is applied to liftings on topological measure spaces and group measure spaces. A further application to disintegrations of ...

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  • Lee, Jung Jin (2010-08-20)
    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 a locally compact group G is amenable if and only if the ...

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  • Gao, Li (2018-07-10)
    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 the continuous deformation ...

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  • Yew, Khye Loong (2005)
    For the second project, Junge and Xu independently demonstrated recently that the nth-dimensional operator Hilbert space OHn is a subspace of an operator space which is completely isomorphic to a completely complemented ...

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  • Musat, Magdalena Elena (2002)
    We prove that for 1 ≤ p < q < infinity the analogue of the classical result BMO,Lp pq = Lq holds in the setting of a finite von Neumann algebra M , equipped with an increasing filtration ( M n)n≥1 of von Neumann ...

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  • Liang, Jian (2015-04-20)
    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 WEP and QWEP, and illustrate the relations with ...

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  • Zeng, Qiang (2014-09-16)
    Let $(\mathcal{N},\tau)$ be a noncommutative $W^*$ probability space, where $\mathcal{N}$ is a finite von Neumann algebra and $\tau$ is a normal faithful tracial state. Let $(T_t)_{\ge 0}$ be a normal, unital, completely ...

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  • Zhao, Mingyu (2018-07-12)
    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 from noncommutative ...

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  • Compaan, Erin Leigh (2017-04-12)
    This thesis is primarily concerned with the smoothing properties of dispersive equations and systems. Smoothing in this context means that the nonlinear part of the solution flow is of higher regularity than the initial ...

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  • Demirbas, Seckin (2015-06-29)
    In the first part of this thesis we consider the cubic Schrödinger equation iu_t+Delta u =+/-|u|^2u, x in T_theta^2, t\in [-T,T], u(x,0)=u_0(x) in H^s(T_theta^2). T is the time of existence of the solutions and ...

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