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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
DOI: https://doi.org/10.1090/S0002-9939-1989-0984818-8
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?


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0984818-8
Keywords: Compact operator, principal ideal, unitary invariance, $ s$-numbers
Article copyright: © Copyright 1989 American Mathematical Society

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