ID | 33926 |
FullText URL | |
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 |
English
|
File Version | publisher
|
Refereed |
True
|
Submission Path | mjou/vol46/iss1/33
|
JaLCDOI |