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2009 Vector semi-Fredholm Toeplitz operators and mean winding numbers
Dmitry Yakubovich
Nagoya Math. J. 195: 57-75 (2009).

Abstract

For a continuous nonvanishing complex-valued function $g$ on the real line, several notions of a mean winding number are introduced. We give necessary conditions for a Toeplitz operator with matrix-valued symbol $G$ to be semi-Fredholm in terms of mean winding numbers of $\det G$. The matrix function $G$ is assumed to be continuous on the real line, and no other apriori assumptions on it are made.

Citation

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Dmitry Yakubovich. "Vector semi-Fredholm Toeplitz operators and mean winding numbers." Nagoya Math. J. 195 57 - 75, 2009.

Information

Published: 2009
First available in Project Euclid: 14 September 2009

zbMATH: 1172.47023
MathSciNet: MR2552953

Subjects:
Primary: 47A53, 47B35, 47G30

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

JOURNAL ARTICLE
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Vol.195 • 2009
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