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The Set of Finite Operators is Nowhere Dense

Published online by Cambridge University Press:  20 November 2018

Domingo A. Herrero*
Affiliation:
Arizona State University Tempe, AZ 85287
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Abstract

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A bounded linear operator A on a complex, separable, infinite dimensional Hilbert space is called finite if for each . It is shown that the class of all finite operators is a closed nowhere dense subset of

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1989

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