Invertibility of a Class of Toeplitz Operators over the Half Plane

Description

This dissertation is concerned with invertibility and
one-sided invertibility of Toeplitz operators
over the half plane whose generating functions
admit homogenous discontinuities, and with
stability of their pseudo finite sections.
The invertibility criterium is given in terms
of invertibility of a family of one
dimensional Toeplitz operators with piecewise
continuous generating functions. The one-sided
invertibility criterium is given it terms of
constraints on the partial indices of certain
Toeplitz operator valued function.

Links & Downloads

1. urn:nbn:de:swb:ch1-200700157
2. https://monarch.qucosa.de/id/qucosa%3A18662
3. https://monarch.qucosa.de/api/qucosa%3A18662/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A18662/attachment/ATT-1/

Tags

info:eu-repo/classification/ddc/500

ddc:500

Banach-Algebra

Faltungsoperator

Halbraum

Stabilität

Toeplitz-Operator

Toeplitz operator over the half plane

approximate identities

convolution operator

homogenous discontinuities

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18662
Date	28 September 2006
Creators	Vasilyev, Vladimir
Contributors	Silbermann, Bernd, Rabinovich, Vladimir, Speck, Frank-Olme, Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:doctoralThesis, info:eu-repo/semantics/doctoralThesis, doc-type:Text
Rights	info:eu-repo/semantics/openAccess