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

Author

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  • A. Böttcher
  • S. Grudsky
  • I. Spitkovsky

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.

Suggested Citation

  • A. Böttcher & S. Grudsky & I. Spitkovsky, 2003. "Block Toeplitz operators with frequency-modulated semi-almost periodic symbols," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-20, January.
    • Handle: RePEc:hin:jijmms:508392
    DOI: 10.1155/S0161171203107107
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