A factorable Banach algebra with inequivalent regular representation norm

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 al...

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Bibliographic Details
Main Author: Leinert, Michael (Author)
Format: Article (Journal)
Language:English
Published: October 1976
In: Proceedings of the American Mathematical Society
Year: 1976, Volume: 60, Issue: 1, Pages: 161-162
ISSN:1088-6826
DOI:10.1090/S0002-9939-1976-0420136-5
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1090/S0002-9939-1976-0420136-5
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Author Notes:Michael Leinert
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Summary: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.
Item Description:Gesehen am 08.06.2018
Physical Description:Online Resource
ISSN:1088-6826
DOI:10.1090/S0002-9939-1976-0420136-5