J Austral Math Soc Ser A 50 pp150--159, 1991.

Hyponormal Operators on Uniformly Smooth Spaces

Muneo Choo

(Received 30 July 1989)

Abstract

In this paper we will characterize the spectrum of a hyponormal operator and the joint spectrum of a doubly commuting n-tuple of strongly hyponormal operators on a uniformly smooth space. We also describe some applications of these results.

1980 AMS Subject Classification (1985 Revision): 47A12

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Authors

Muneo Choo: Joetsu University of Education, Joetsu, Niigata 943, Japan.

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Last Modified: Mon Feb 3 9:46:10 2003