- AutorIn
- M.Sc. Vladimir Vasilyev
- Titel
- Invertibility of a Class of Toeplitz Operators over the Half Plane
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:swb:ch1-200700157
- Datum der Einreichung
- 28.09.2006
- Datum der Verteidigung
- 28.09.2006
- Abstract (EN)
- 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.
- Freie Schlagwörter
- Toeplitz operator over the half plane
- approximate identities
- convolution operator
- homogenous discontinuities
- Klassifikation (DDC)
- 500
- Normschlagwörter (GND)
- Banach-Algebra
- Faltungsoperator
- Halbraum
- Stabilität
- Toeplitz-Operator
- GutachterIn
- Prof. Dr. Bernd Silbermann
- Prof. Dr. Vladimir Rabinovich
- Prof. Dr. Frank-Olme Speck
- BetreuerIn
- Prof. Dr. Bernd Silbermann
- Den akademischen Grad verleihende / prüfende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:swb:ch1-200700157
- Veröffentlichungsdatum Qucosa
- 07.02.2007
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch