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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A factorable Banach algebra with inequivalent regular representation norm


Author: Michael Leinert
Journal: Proc. Amer. Math. Soc. 60 (1976), 161-162
MSC: Primary 46H99; Secondary 43A20
MathSciNet review: 0420136
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Abstract: An example is given of a semisimple commutative Banach algebra which factorizes but whose norm is not equivalent to the norm induced by its regular representation. This is a stronger version of the example given in [4] and it can be viewed as an example of a factorizing commutative abstract Segal algebra.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0420136-5
PII: S 0002-9939(1976)0420136-5
Keywords: Banach algebra, factorization
Article copyright: © Copyright 1976 American Mathematical Society