Title : ( Continuity of generalized derivations on JB*- algebras )
Authors: mohamad gholampour , Shirin Hejazian ,
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Abstract
We prove that every generalized Jordan derivation D from a JB*-algebra A into itself or into its dual space is automatically continuous. In particular, we establish that every generalized Jordan derivation from a C*-algebra to a Jordan Banach module is continuous. As a consequence, every generalized derivation from a C*-algebra to a Banach bimodule is continuous.
Keywords
, Jordan Banach algebra, Jordan Banach module, JB*-algebra Jordan derivation, generalized Jordan derivation, automatic continuity.
@article{paperid:1066818,
author = {Gholampour, Mohamad and Hejazian, Shirin},
title = {Continuity of generalized derivations on JB*- algebras},
journal = {Quaestiones Mathematicae},
year = {2017},
volume = {41},
number = {2},
month = {January},
issn = {1607-3606},
pages = {227--238},
numpages = {11},
keywords = {Jordan Banach algebra; Jordan Banach module; JB*-algebra
Jordan derivation; generalized Jordan derivation; automatic continuity.},
}
%0 Journal Article
%T Continuity of generalized derivations on JB*- algebras
%A Gholampour, Mohamad
%A Hejazian, Shirin
%J Quaestiones Mathematicae
%@ 1607-3606
%D 2017
