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Strong Wedderburn Decompositions of Banach Algebras Containing Analytic Semigroups
Author(s) -
White M. C.
Publication year - 1994
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/49.2.331
Subject(s) - mathematics , pure mathematics , semigroup , decomposition , banach algebra , algebra over a field , homomorphic encryption , banach space , chemistry , computer science , encryption , organic chemistry , operating system
We prove that if a Banach algebra contains an analytic semigroup which satisfies a certain growth condition then neither it nor any homomorphic image of it may have a Strong Wedderburn Decomposition, in particular it must be weakly amenable.
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