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

A. Böttcher, S. Grudsky and I. Spitkovsky

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-20

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:508392

DOI: 10.1155/S0161171203107107

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