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THE SECOND TRANSPOSE OF A DERIVATION

Published online by Cambridge University Press:  01 February 2002

H. G. DALES, ,
A. RODRÍGUEZ-PALACIOS  and
M. V. VELASCO
H. G. DALES,
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT; [email protected]
A. RODRÍGUEZ-PALACIOS
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain; [email protected], [email protected]
M. V. VELASCO
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain; [email protected], [email protected]
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Abstract

Let A be a Banach algebra, and let D: A → A* be a continuous derivation, where A* is the topological dual space of A. The paper discusses the situation when the second transpose D**: A** → (A**)* is also a derivation in the case where A** has the first Arens product.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 707 - 721
Copyright
London Mathematical Society 2001

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