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ID 33926
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Author
Takahashi, Sin-Ei
Hatori, Osamu
Abstract

Pfaffenberger and Phillips [2] consider a real and unital case of the classical commutative Gelfand theorem and obtain two representation theorems. One is to represent a unital real commutative Banach algebra A as an algebra of continuous functions on the unital homomorphism space ΦA. The other is to represent A as an algebra of continuous sections on the maximal ideal space MA. In this note, we point out that similar theorems for non-unital case hold and show that two representation theorems are essentially identical.

Keywords
real commutative Banach algebras
real algebra homomorphisms
commutative Gelfand theory.
Published Date
2004-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume46
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
121
End Page
130
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
File Version
publisher
Refereed
True
Submission Path
mjou/vol46/iss1/33
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