The numerical range of a Toeplitz operator-Reference-Cited by-同舟云学术

The numerical range of a Toeplitz operator

Published:1972 Issue:1 Volume:35 Page:101-103
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Klein E. M.

Abstract

In this paper we explicitly compute the numerical range of an arbitrary Toeplitz operator on the classical Hardy space H 2 {H^2} of the unit circle. In particular, we show that the numerical range depends only on the spectrum of the given Toeplitz operator. Several special cases are also considered.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-035-01/S0002-9939-1972-0296725-4/S0002-9939-1972-0296725-4.pdf

Reference4 articles.

1. Algebraic properties of Toeplitz operators;Brown, Arlen;J. Reine Angew. Math.,1963

2. Prentice-Hall Series in Modern Analysis;Hoffman, Kenneth,1962

3. Extreme points of the numerical range of a hyponormal operator;Stampfli, J. G.;Michigan Math. J.,1966

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