# Perturbation theorems for Hermitian elements in Banach algebras

Studia Mathematica (1999)

- Volume: 134, Issue: 2, page 111-117
- ISSN: 0039-3223

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topBhatia, Rajendra, and Drissi, Driss. "Perturbation theorems for Hermitian elements in Banach algebras." Studia Mathematica 134.2 (1999): 111-117. <http://eudml.org/doc/216625>.

@article{Bhatia1999,

abstract = {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.},

author = {Bhatia, Rajendra, Drissi, Driss},

journal = {Studia Mathematica},

keywords = {Banach algebra; Hermitian element; spectral radius; Hausdorff distance between spectra; Hermitian elements; complex unital Banach algebra; integral representation},

language = {eng},

number = {2},

pages = {111-117},

title = {Perturbation theorems for Hermitian elements in Banach algebras},

url = {http://eudml.org/doc/216625},

volume = {134},

year = {1999},

}

TY - JOUR

AU - Bhatia, Rajendra

AU - Drissi, Driss

TI - Perturbation theorems for Hermitian elements in Banach algebras

JO - Studia Mathematica

PY - 1999

VL - 134

IS - 2

SP - 111

EP - 117

AB - 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.

LA - eng

KW - Banach algebra; Hermitian element; spectral radius; Hausdorff distance between spectra; Hermitian elements; complex unital Banach algebra; integral representation

UR - http://eudml.org/doc/216625

ER -

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