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Regularities in noncommutative Banach algebras
Date
2008-07-01
Author
Dosiev, Anar
Metadata
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In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and prove that there is a correspondence between them similar to the commutative case. This correspondence involves a radical on a class of Banach algebras equipped with a subspectrum. Taylor and Slodkowski spectra for noncommutative tuples of bounded linear operators are the main examples of subspectra in the noncommutative case.
Subject Keywords
Algebra and Number Theory
,
Analysis
URI
https://hdl.handle.net/11511/64331
Journal
INTEGRAL EQUATIONS AND OPERATOR THEORY
DOI
https://doi.org/10.1007/s00020-008-1593-6
Collections
Natural Sciences and Mathematics, Article