A note on a class of Banach algebra-valued polynomials

A note on a class of Banach algebra-valued polynomials

Let F be a Banach algebra. We give a necessary and sufficient condition for F to be finite dimensional, in terms of finite type n-homogeneous F-valued polynomials.

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Bibliographic Details
Main Authors: Sin-Ei Takahasi, Osamu Hatori, Keiichi Watanabe, Takeshi Miura
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202203348
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Summary:Let F be a Banach algebra. We give a necessary and sufficient condition for F to be finite dimensional, in terms of finite type n-homogeneous F-valued polynomials.
ISSN:0161-1712
1687-0425

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