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Two commutative amenable non-symmetric Banach algebras

Published online by Cambridge University Press:  09 April 2009

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.

Type
Research Article
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), 685698.Google Scholar
[3]Rickart, C. E., Banach algebras (Van Nostrand, Princeton, 1960).Google Scholar