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Simultaneous Triangularization of Algebras of Polynomially Compact Operators

Published online by Cambridge University Press:  20 November 2018

M. Radjabalipour
M. Radjabalipour*
Affiliation:
Department of Mathematics, University of Kerman, Kerman, Iran
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Abstract

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If A is a norm closed algebra of compact operators on a Hilbert space and if its Jacobson radical J(A) consists of all quasinilpotent operators in A then A/ J(A) is commutative. The result is not valid for a general algebra of polynomially compact operators.

Keywords

47B0547D25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 2 , 01 June 1991 , pp. 260 - 264
Copyright
Copyright © Canadian Mathematical Society 1991

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