The boundary of the numerical range-Reference-Cited by-同舟云学术

The boundary of the numerical range

Published:1975 Issue:2 Volume:49 Page:393-398
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lancaster John S.

Abstract

This work includes two results which indicate a set theoretic relationship between the boundary of the numerical range and the essential numerical range. Several applications are derived.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-049-02/S0002-9939-1975-0372644-2/S0002-9939-1975-0372644-2.pdf

Reference9 articles.

1. On the numerical range of a bounded operator;Donoghue, William F., Jr.;Michigan Math. J.,1957

2. On the essential numerical range, the essential spectrum, and a problem of Halmos;Fillmore, P. A.;Acta Sci. Math. (Szeged),1972

3. J. R. Giles and B. Sims, On the numerical range of compact operators on Hilbert space (preprint).

4. Über den numerischen Wertebereich eines Operators;Hildebrandt, Stefan;Math. Ann.,1966

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