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Finite dimensional algebras without nilpotents over algebraically closed fields

✍ Scribed by Helmut Röhrl


Book ID
112502015
Publisher
Springer
Year
1979
Tongue
English
Weight
127 KB
Volume
32
Category
Article
ISSN
0003-889X

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Embedding Nilpotent Finite Dimensional B
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We prove that any finite dimensional nilpotent commutative Banach algebra can be embedded isometrically into a commutative amenable Banach algebra, whose approximate diagonal is bounded by one. This amenable algebra is constructed by means of a quotient of a Fourier algebra by a closed ideal, whose