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ArticleOriginal scientific text

Title

Local spectrum and Kaplansky's theorem on algebraic operators

Authors 1

Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

Abstract

Using elementary arguments we improve former results of P. Vrbová concerning local spectrum. As a consequence, we obtain a new proof of Kaplansky’s theorem on algebraic operators on a Banach space.

Keywords

ENG
local spectral radius, local spectrum, algebraic operators

Bibliography

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Colloquium Mathematicum
1998/75/2
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Pages:
159-165
Main language of publication
English
Received
1997-01-27
Published
1998
Exact and natural sciences