Perturbation theorems for Hermitian elements in Banach algebras
Studia Mathematica, Tome 134 (1999) no. 2, pp. 111-117
Cet article a éte moissonné depuis 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.
@article{10_4064_sm_134_2_111_117,
author = {Rajendra Bhatia and Driss Drissi},
title = {Perturbation theorems for {Hermitian} elements in {Banach} algebras},
journal = {Studia Mathematica},
pages = {111--117},
year = {1999},
volume = {134},
number = {2},
doi = {10.4064/sm-134-2-111-117},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-134-2-111-117/}
}
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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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