Radius preserving (semi)regularities in Banach algebras

Review

Radius preserving (semi)regularities in Banach algebras

Published in: Quaestiones Mathematicae
Volume 42 , issue 6 , 2019 , pages: 811–822
DOI: 10.2989/16073606.2018.1501439
Author(s): H. Raubenheimer Department of Pure and Applied Mathematics, , A. Swartz Department of Pure and Applied Mathematics,

Abstract

In this note we investigate regularities (semiregularities) R and S in a Banach algebra A satisfying SR and the corresponding spectra σS and σR Satisfying

sup {|λ| : λ ∈ σR(a)} = sup{|λ| : λ ∈ σS (a)}

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