Regularities in noncommutative Banach algebras

Date

2008-07-01

Author

Dosiev, Anar

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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

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Citation Formats

A. Dosiev, “Regularities in noncommutative Banach algebras,” INTEGRAL EQUATIONS AND OPERATOR THEORY, pp. 341–364, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64331.