Perturbation theorems for Hermitian elements in Banach algebras

Bhatia, Rajendra ; Drissi, Driss (1999) Perturbation theorems for Hermitian elements in Banach algebras Studia Mathematica, 134 (2). pp. 111-117. ISSN 0039-3223

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Abstract

Two well-known therems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation az-xb=y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.

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