Search for dissertations about: "Banach algebra"

Showing result 1 - 5 of 8 swedish dissertations containing the words Banach algebra.

2. 1. Crossed Product Structures Associated with Topological Dynamical Systems

   Author : Christian Svensson; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; maximal abelian subalgebra; commutant; C*-algebra; dynamical system; ideal; Banach algebra; Crossed product;

   Abstract : We study connections between topological dynamical systems and associated algebras of crossed product type. We derive equivalences between structural properties of a crossed product and dynamical properties of the associated system and furthermore derive qualitative results concerning the crossed product that are true regardless of the corresponding dynamical system. READ MORE

4. 2. Interpolation of Subcouples, New Results and Applications

   Author : Peter Sunehag; Sten Kaijser; Natan Krugljak; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Interpolation; Banach couple; Banach space Banach algebra; subcouple; quotient couple; Matematisk analys; Mathematical analysis; Analys;

   Abstract : Suppose that X and Y are Banach couples and suppose that there is a bounded linear couple map Q from Y to X which has the property that Q restricted to the endpoint spaces is injective and the images of the endpointspaces of Y are closed in the endpoint spaces of X, then we say that Y is a subcouple of X. If F is an interpolation functor we want to know how F(Y) is related to F(X). READ MORE

5. 3. Some Resolvent Estimates in Harmonic Analysis

   Author : Anders Dahlner; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; field theory; Number Theory; algebra; algebraic geometry; Talteori; group theory; Tauberian theorem. Quantitative inversion. Cesaro operator. Bishops property beta.; algebraisk geometri; fältteori; gruppteori;

   Abstract : This thesis contains three papers about three different estimates of resolvents in harmonic analysis. These papers are: Paper 1. ``A Wiener tauberian theorem for weighted convolution algebras of zonal functions on the automorphism group of the unit disc'' Paper 2. ``Uniform spectral radius and compact Gelfand transform'' Paper 3. READ MORE

6. 4. Algebras of bounded holomorphic functions

   Author : Anders Fällström; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; holomorphic function; bounded holomorphic function; domain of holomorphy; envelope of holomorphy; Gleason’s problem; convex set; uniform algebra; spectrum; fibers; generalized Shilov boundary; analytic structure; plurisubharmonic function;

   Abstract : Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are solved. A bounded domain of holomorphy Q in C2 with nonschlicht i7°°- envelope of holomorphy is constructed and it is shown that there is a point in Q for which Gleason’s Problem for H°°(Q) cannot be solved. READ MORE

7. 5. Descriptive Set Theory and Applications

   Author : Joao Pedro Paulos; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sets of Uniqueness; Operator U-sets; Thin Sets; Descriptive Set Theory; ; Operator U0-sets; Point Spectrum; Reflexivity; Fourier Algebra; Jamison sequences; Harmonic Analysis;

   Abstract : The systematic study of Polish spaces within the scope of Descriptive Set Theory furnishes the working mathematician with powerful techniques and illuminating insights. In this thesis, we start with a concise recapitulation of some classical aspects of Descriptive Set Theory which is followed by a succint review of topological groups, measures and some of their associated algebras. READ MORE