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Fuglede's Commutativity Theorem and ∩ R(T - λ)

Published online by Cambridge University Press:  20 November 2018

Robert Whitley
Robert Whitley*
Affiliation:
University of California Irvine, CA 92717
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Abstract

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Fuglede's commutativity theorem for normal operators is an easy consequence of the result that: For T normal, denoting the range of T - λ by R(T - λ), ∩ {R(T - λ) : all λ} = {0}:

Keywords

47B2047B15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 331 - 334
Copyright
Copyright © Canadian Mathematical Society 1990

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