ID | 33926 |
フルテキストURL | |
著者 |
Takahashi, Sin-Ei
Yamagata University
Hatori, Osamu
Niigata University, Niigata
|
抄録 | 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. |
キーワード | real commutative Banach algebras
real algebra homomorphisms
commutative Gelfand theory.
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発行日 | 2004-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 46巻
|
号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
開始ページ | 121
|
終了ページ | 130
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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言語 |
英語
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol46/iss1/33
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JaLCDOI |