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

• (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 ...

application/pdf

PDF (718kB)
• (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 ...

application/pdf

PDF (326kB)
• (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, ...

application/pdf

PDF (1MB)
• (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 ...

application/pdf

PDF (589kB)
• (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 ...

application/pdf

PDF (388kB)
• (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 ...

application/pdf

PDF (2MB)
• (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 ...

application/pdf

PDF (668kB)
• (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 ...

application/pdf

PDF (745kB)
• (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 ...

application/pdf

PDF (4MB)
• (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 ...

application/pdf

PDF (4MB)
• (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 ...

application/pdf

PDF (527kB)
• (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 ...

application/pdf

PDF (1MB)
• (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 ...

application/pdf

PDF (612kB)
• (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 ...

application/pdf

PDF (955kB)
• (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 ...

application/pdf

PDF (604kB)