The resolution of the identity for selfadjoint Toeplitz operators with rational matrix symbol

1994 ◽  
Vol 20 (4) ◽  
pp. 449-490 ◽  
Author(s):  
Rob Vreugdenhil
Keyword(s):  
Toeplitz Operators ◽  
Rational Matrix ◽  
Resolution Of The Identity ◽  
Matrix Symbol

scholarly journals Block Toeplitz operators with frequency-modulated semi-almost periodic symbols

2003 ◽  
Vol 2003 (34) ◽  
pp. 2157-2176 ◽  
Author(s):  
A. Böttcher ◽  
S. Grudsky ◽  
I. Spitkovsky
Keyword(s):  
Toeplitz Operator ◽  
Frequency Modulation ◽  
Real Line ◽  
Matrix Function ◽  
Toeplitz Operators ◽  
Matrix Functions ◽  
Almost Periodic ◽  
The Matrix ◽  
Matrix Symbol ◽  
Block Toeplitz Operators

This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols. The main results give conditions on an orientation-preserving homeomorphismαof the real line that ensure the following: ifbbelongs to a certain class of oscillating matrix functions (periodic, almost periodic, or semi-almost periodic matrix functions) and the Toeplitz operator generated by the matrix functionb(x)is semi-Fredholm, then the Toeplitz operator with the matrix symbolb(α(x))is also semi-Fredholm.

scholarly journals Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol

2017 ◽  
Vol 77 (2) ◽  
pp. 455-479 ◽  
Author(s):  
M. Cristina Camara ◽  
Jonathan Partington
Keyword(s):  
Toeplitz Operators ◽  
Matrix Symbol

Eigenspaces of families of Toeplitz operators with rational matrix symbols

1983 ◽  
Vol 45 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Kevin Clancey ◽  
Leiba Rodman
Keyword(s):  
Toeplitz Operators ◽  
Rational Matrix

scholarly journals Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains

2021 ◽  
Vol 93 (3) ◽  
Author(s):  
Harald Upmeier
Keyword(s):  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Bounded Symmetric Domains

AbstractWe determine the eigenvalues of certain “fundamental” K-invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains $$D=G/K,$$ D = G / K , for the irreducible K-types indexed by all partitions of length $$r={\mathrm {rank}}(D)$$ r = rank ( D ) .

Toeplitz Operators on the Fock Space with Presymbols Discontinuous on a Thick Set

1996 ◽  
Vol 180 (1) ◽  
pp. 299-315 ◽  
Author(s):  
E. Ram Írez De Arellano ◽  
N. L. Vasilevski
Keyword(s):  
Toeplitz Operators ◽  
Fock Space
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