J Austral Math Soc Ser A 47 pp300--306, 1989.

The Non-Emptiness of Joint Spectral Subsets of Euclidean n-Space

W. J. Ricker and A. R. Schep

(Received 1 April 1988)

Abstract

A. McIntosh and A. Pryde introduced and gave some applications of a notion of "spectral set", g(T), associated with each finite, commuting family of continuous linear operators T in a Banach space. Unlike most concepts of joint spectrum, the set g(T) is part of real Euclidean space. It is shown that g(T) is always non-empty whenever there are at least two operators T.

1980 AMS Subject Classification (1985 Revision): 47A10

Browse the article

Read the article in your browser. (Scale your print to fit your paper).

Authors

W. J. Ricker: School of Mathematics, University of New South Wales, P.O. Box 1, Kensington, N.S.W., Australia.
A. R. Schep: Department of Mathematics, University of South Carolina, Columbia, South Carolina.

Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au

Last Modified: Wed Feb 19 10:27:50 2003