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Amenability and topological centres of the second duals of Banach algebras

Published online by Cambridge University Press:  17 April 2009

F. Ghahramani  and
J. Laali
F. Ghahramani
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg R3T 2N2, Canada e-mail: [email protected]
J. Laali
Affiliation:
Department of Mathematics, Teacher Training University, 49 Mofateh Avenue, Tehran, Iran
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Abstract

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Let  be a Banach algebra and let ** be the second dual algebra of  endowed with the first or the second Arens product. We investigate relations between amenability of ** and Arens regularity of  and the rôle topological centres in amenability of **. We also find conditions under which weak amenability of ** implies weak amenability of .

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 191 - 197
Copyright
Copyright © Australian Mathematical Society 2002

References

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