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Two commutative amenable non-symmetric Banach algebras

Part of: Methods of category theory in functional analysis Commutative Banach algebras and commutative topological algebras

Published online by Cambridge University Press:  09 April 2009

B. E. Johnson
B. E. Johnson
Affiliation:
Department of Mathematics and Statistics, The University of Newcastle upon Tyne, England, NE1 7RU
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Abstract

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We show that a commutative amenable Banach algebra need not be symmetric by constructing suitable examples.

MSC classification

Secondary: 46J05: General theory of commutative topological algebras 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 2 , October 1995 , pp. 225 - 231
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Johnson, B. E., Cohomology in Banach algebras, Memoirs of the Amer. Math. Soc. 127 (Amer. Math. Soc., Providence, 1972).Google Scholar
[2]Johnson, B. E., ‘Approximate diagonals and cohomology of certain annihilator Banach algebras’, Amer. J. Math. 94 (1972), 685–698.Google Scholar
[3]Rickart, C. E., Banach algebras (Van Nostrand, Princeton, 1960).Google Scholar