Computing the Fredholm index of Toeplitz operators with continuous symbols-Reference-Cited by-同舟云学术

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Computing the Fredholm index of Toeplitz operators with continuous symbols

Published:2004-10-15 Issue:5 Volume:133 Page:1357-1364
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Feldman Nathan,McGuire Paul

Abstract

We show how to compute the Fredholm index of a Toeplitz operator with a continuous symbol constructed from any subnormal operator with compact self-commutator. We also show that the essential spectral pictures of such Toeplitz operators can be prescribed arbitrarily.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-05/S0002-9939-04-07642-7/S0002-9939-04-07642-7.pdf

Reference11 articles.

1. Subnormal operators with compact selfcommutator;Aleman, Alexandru;Manuscripta Math.,1996

2. Toeplitz operators in multiply connected regions;Abrahamse, M. B.;Amer. J. Math.,1974

3. Unitary equivalence modulo the compact operators and extensions of 𝐶*-algebras;Brown, L. G.,1973

4. Spectral properties of certain operators on Hardy spaces of planar regions;Conway, John B.;Integral Equations Operator Theory,1987

5. Graduate Texts in Mathematics;Conway, John B.,1990

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Subnormal and hyponormal generators of C*-algebras;Journal of Functional Analysis;2006-02

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