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Properties of Spectrally Bounded Compact Elementary Operators

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Kangogo_Properties of spectrally bounded compact elementary operators.pdf (437.7Kb)
Publication Date
2021-03-31
Author
Kangogo, Willy
Okelo, Nyaare Benard
Ongati, Omolo
Type
Article
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Abstract/Overview

Spectrally bounded compact elementary operators on dense irreducible subalgebras of C ∗ -algebras are characterized. Also, it is shown that left multiplications, right multiplications, generalized derivations and basic elementary operators are spec trally bounded compact elementary operators. Furthermore, several properties of spectrally bounded compact elementary operators such as completeness, convergence, continuity and total boundedness in a general Banach setting are outlined.

Subject/Keywords
elementary operator; spectral boundedness; irreducible; spectral operator norm
Publisher
DOI: 10.47443/cm.2021.0012
Permalink
http://ir.jooust.ac.ke:8080/xmlui/handle/123456789/9465
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