Functional characterizations of the field of values and the convex hull of the spectrum-Reference-Cited by-同舟云学术

Functional characterizations of the field of values and the convex hull of the spectrum

Published:1976 Issue:2 Volume:61 Page:201-204
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Johnson Charles R.

Abstract

The only compact, convex set-valued homogeneous and translatable function of square complex matrices which is an indicator function for the matrices with positive semidefinite real part is the classical field of values. An analogous characterization of the convex hull of the spectrum is given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-061-02/S0002-9939-1976-0437555-3/S0002-9939-1976-0437555-3.pdf

Reference4 articles.

1. A Geršgorin inclusion set for the field of values of a finite matrix;Johnson, Charles R.;Proc. Amer. Math. Soc.,1973

2. A Lyapunov theorem for angular cones;Johnson, Charles R.;J. Res. Nat. Bur. Standards Sect. B,1974

3. A symmetric numerical range for matrices;Saunders, B. David;Numer. Math.,1976

4. C. Zenger, Minimum subadditive inclusion domains for the eigenvalues of matrices (to appear).

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