Compact Operators in the Commutant of Essentially Normal Operators
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Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Tusi Mathematical Research Group (TMRG)
Abstract
Let T be a bounded, linear operator on a complex, separable, infinite dimensional Hilbert space H. We assume that T is an essentially isometric (resp. normal) operator, that is, IH-T*T (resp. TT*-T*T) is compact. For the compactness of S from the commutant of T, some necessary and sufficient conditions are found on S. Some related problems are also discussed.
Description
Keywords
(Essential) Spectrum, Compact Operator, Essentially Unitary (Normal) Operator, Functional Calculus
Turkish CoHE Thesis Center URL
WoS Q
Q2
Scopus Q
Q2
Source
Banach Journal of Mathematical Analysis
Volume
8
Issue
2
Start Page
1
End Page
15