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

A. Böttcher, S. Grudsky, I. Spitkovsky

Research output: Contribution to journalArticle

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 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.

Original languageEnglish (US)
Pages (from-to)2157-2176
Number of pages20
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2003
Issue number34
DOIs
StatePublished - Jan 1 2003

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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