scholarly journals Scalar-type kernels for block Toeplitz operators

2020 ◽  
Vol 489 (1) ◽  
pp. 124111
Author(s):  
M. Cristina Câmara ◽  
Jonathan R. Partington
Keyword(s):  
Toeplitz Operators ◽  
Scalar Type ◽  
Block Toeplitz Operators

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 Hyponormality of block Toeplitz operators

2006 ◽  
Vol 223 (1) ◽  
pp. 95-111 ◽  
Author(s):  
Caxing Gu ◽  
Jacob Hendricks ◽  
Daniel Rutherford
Keyword(s):  
Toeplitz Operators ◽  
Block Toeplitz Operators

Block Toeplitz Operators

1993 ◽  
pp. 562-582
Author(s):  
I. Gohberg ◽  
M. A. Kaashoek ◽  
S. Goldberg
Keyword(s):  
Toeplitz Operators ◽  
Block Toeplitz Operators
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