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Traces on irregular ideals

Author: József V. Varga
Journal: Proc. Amer. Math. Soc. 107 (1989), 715-723
MSC: Primary 47D25; Secondary 47B07, 47B10, 47D30
MathSciNet review: 984818
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Abstract: Simple answers are given to the following and related questions: For what Hilbert space operator $ A$ is it true that the smallest ideal (alternatively, the smallest norm ideal, the smallest maximal norm ideal) containing $ A$ is a norm (an intermediate norm, a principal norm) ideal? Do these ideals support a nontrivial unitary invariant positive linear functional?

References [Enhancements On Off] (What's this?)

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Keywords: Compact operator, principal ideal, unitary invariance, $ s$-numbers
Article copyright: © Copyright 1989 American Mathematical Society

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