On generalized derivations in Banach algebras
Studia Mathematica (2009)
- Volume: 194, Issue: 1, page 81-89
- ISSN: 0039-3223
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topNadia Boudi, and Said Ouchrif. "On generalized derivations in Banach algebras." Studia Mathematica 194.1 (2009): 81-89. <http://eudml.org/doc/284557>.
@article{NadiaBoudi2009,
abstract = {We study generalized derivations G defined on a complex Banach algebra A such that the spectrum σ(Gx) is finite for all x ∈ A. In particular, we show that if A is unital and semisimple, then G is inner and implemented by elements of the socle of A.},
author = {Nadia Boudi, Said Ouchrif},
journal = {Studia Mathematica},
keywords = {generalised derivation; finite spectrum; Banach algebra; socle},
language = {eng},
number = {1},
pages = {81-89},
title = {On generalized derivations in Banach algebras},
url = {http://eudml.org/doc/284557},
volume = {194},
year = {2009},
}
TY - JOUR
AU - Nadia Boudi
AU - Said Ouchrif
TI - On generalized derivations in Banach algebras
JO - Studia Mathematica
PY - 2009
VL - 194
IS - 1
SP - 81
EP - 89
AB - We study generalized derivations G defined on a complex Banach algebra A such that the spectrum σ(Gx) is finite for all x ∈ A. In particular, we show that if A is unital and semisimple, then G is inner and implemented by elements of the socle of A.
LA - eng
KW - generalised derivation; finite spectrum; Banach algebra; socle
UR - http://eudml.org/doc/284557
ER -
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