Browsing Theses and Dissertations (Mathematics and Applied Mathematics) by Supervisor "Stroh, Anton"

Browsing Theses and Dissertations (Mathematics and Applied Mathematics) by Supervisor "Stroh, Anton"

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  • An algebraic - analytic framework for the study of intertwined families of evolution operators 
    Lee, Wha-Suck (University of Pretoria, 2015)
    We introduce a new framework of generalized operators to handle vector valued distributions, intertwined evolution operators of B-evolution equations and Fokker Planck type evolution equations. Generalized operators capture ...
  • Ergodic properties of noncommutative dynamical systems 
    Snyman, Mathys Machiel (University of Pretoria, 2013)
    In this dissertation we develop aspects of ergodic theory for C*-dynamical systems for which the C*-algebras are allowed to be noncommutative. We define four ergodic properties, with analogues in classic ergodic theory, ...
  • A Hilbert space approach to multiple recurrence in ergodic theory 
    Beyers, Frederik Johannes Conradie (University of Pretoria, 2007-02-22)
    The use of Hilbert space theory became an important tool for ergodic theoreticians ever since John von Neumann proved the fundamental Mean Ergodic theorem in Hilbert space. Recurrence is one of the corner stones in the ...
  • Ideal perturbation of elements in C*-algebras 
    Lee, Wha-Suck (University of Pretoria, 2004)
    The aim of this thesis is to prove the lifting property of zero divisors, n-zero divisors, nilpotent elements and a criteria for the lifting of polynomially ideal elements in C*-algebras. Chapter 1 establishes the foundation ...
  • Riesz theory and Fredholm determinants in Banach algebras 
    Bapela, Manas Majakwane (University of Pretoria, 2006-12-04)
    In the classical theory of operators on a Banach space a beautiful interplay exists between Riesz and Fredholm theory, and the theory of traces and de¬terminants for operator ideals. In this thesis we obtain a complete ...
  • A structure theorem for asymptotically abelian W*-dynamical systems 
    King, Malcolm Bruce (University of Pretoria, 2016)
    We prove a partial non-commutative analogue of the Furstenberg-Zimmerman Structure Theorem, originally proved by Tim Austin, Tanya Eisner and Terence Tao. In Chapter 1, we review the GNS construction for states on von ...
  • The Szemerédi property in noncommutative dynamical systems 
    Beyers, Frederik Johannes Conradie (University of Pretoria, 2009-06-02)
    No abstract available. Copyright 2008, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by ...
  • Unique ergodicity in C*-dynamical systems 
    Van Wyk, Daniel Willem (University of Pretoria, 2013)
    The aim of this dissertation is to investigate ergodic properties, in particular unique ergodicity, in a noncommutative setting, that is in C*-dynamical systems. Fairly recently Abadie and Dykema introduced a broader ...