On the product of two generalized derivations
Authors:
Mohamed Barraa and Steen Pedersen
Journal:
Proc. Amer. Math. Soc. 127 (1999), 26792683
MSC (1991):
Primary 47B47, 46L40
Published electronically:
April 15, 1999
MathSciNet review:
1610904
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Abstract: Two elements and in a ring determine a generalized derivation on by setting for any in . We characterize when the product is a generalized derivation in the cases when the ring is the algebra of all bounded operators on a Banach space , and when is a algebra . We use these characterizations to compute the commutant of the range of .
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Additional Information
Mohamed Barraa
Affiliation:
Departement de Mathematiques, Faculte des Sciences–Semlalia, University Cadi Ayyad, B.P.: S. 15, 40000 Marrakech, Marocco
Steen Pedersen
Affiliation:
Department of Mathematics, Wright State University, Dayton, Ohio 45435
Email:
steen@math.wright.edu
DOI:
http://dx.doi.org/10.1090/S0002993999048996
PII:
S 00029939(99)048996
Keywords:
Derivation,
generalized derivation,
elementary operator,
$C^{*}$algebra
Received by editor(s):
December 30, 1996
Received by editor(s) in revised form:
November 20, 1997
Published electronically:
April 15, 1999
Communicated by:
Palle E. T. Jorgensen
Article copyright:
© Copyright 1999
American Mathematical Society
