Geodesic
Perturbation theorems for Hermitian elements in Banach algebras
Studia Mathematica, Tome 134 (1999) no. 2, pp. 111-117

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Two well-known theorems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation ax - xb = y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.
DOI : 10.4064/sm-134-2-111-117
Keywords: Banach algebra, Hermitian element, spectral radius

Rajendra Bhatia 1 ; Driss Drissi 1

1 
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Rajendra Bhatia; Driss Drissi. Perturbation theorems for Hermitian elements in Banach algebras. Studia Mathematica, Tome 134 (1999) no. 2, pp. 111-117. doi: 10.4064/sm-134-2-111-117

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