TY - JOUR
T1 - Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
AU - Böttcher, A.
AU - Grudsky, S.
AU - Spitkovsky, I.
N1 - Funding Information:
Böttcher A. [email protected] 1 Grudsky S. [email protected] 2 Spitkovsky I. [email protected] 3 1 Fakultät für Mathematik TU Chemnitz Chemnitz 09107 Germany tu-chemnitz.de 2 Departamento de Matematicas CINVESTAV del IPN Aportado Postal 14-740 México, DF 07360 Mexico cinvestav.mx 3 Department of Mathematics The College of William and Mary Williamsburg, VA 23187-8795 USA wm.edu 2003 17 06 2003 2003 34 2157 2176 23 07 2001 19 02 2002 2003 Copyright © 2003 Hindawi Publishing Corporation 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 homeomorphism α of the real line that ensure the following: if b belongs 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 function b ( x ) is semi-Fredholm, then the Toeplitz operator with the matrix symbol b ( α ( x ) ) is also semi-Fredholm. http://dx.doi.org/10.13039/501100003141 Consejo Nacional de Ciencia y Tecnología 010286 http://dx.doi.org/10.13039/100000001 National Science Foundation DMS 9988579
PY - 2003
Y1 - 2003
N2 - 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 homeomorphism a of the real line that ensure the following: if b belongs 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 function b (x) is semi-Fredholm, then the Toeplitz operator with the matrix symbol b (a (x)) is also semi-Fredholm.
AB - 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 homeomorphism a of the real line that ensure the following: if b belongs 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 function b (x) is semi-Fredholm, then the Toeplitz operator with the matrix symbol b (a (x)) is also semi-Fredholm.
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U2 - 10.1155/S0161171203107107
DO - 10.1155/S0161171203107107
M3 - Article
AN - SCOPUS:11044238264
SN - 0161-1712
VL - 2003
SP - 2157
EP - 2176
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
IS - 34
ER -