Regularities in noncommutative Banach algebras

Date

2008-07-01

Author

Dosiev, Anar

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

2
views

0
downloads

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

Collections

Natural Sciences and Mathematics, Article