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