On characterizations of the image of Gelfand transform of commutative Banach algebras

Inoue, J.; Takahashi, S.-E

Hokkaido University Preprint Series in Mathematics, 1997, 374, 1-30

Permalink : https://doi.org/10.14943/83520

このアイテムのアクセス数:1,023件（2026-08-20 06:13 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re374	pdf	1.19 MB	739

アクセス権	open access
DOI	https://doi.org/10.14943/83520
URI	https://hdl.handle.net/2115/69124
タイトル	On characterizations of the image of Gelfand transform of commutative Banach algebras
著者	著者名 Inoue, J.
著者	著者名 Takahashi, S.-E
言語	英語
発行日	1997-04-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	374
ページ	1-30
抄録	In this paper, we propose a new method to characterize in terms of "quasi -topology" the image of Gelfand transform of commutative Banach algebras, which were inspired by the works of R. Doss in 1976-77. Generalizations of Bochner-Schoenberg-Eberlein theorem to general commutative Banach algebras ( which play very important roles in this paper) are also considered. Our method is applied in this paper to some concrete Banach algebras such as, group algebras L1 (G), ideals and quotient algebras of L1 (G), Segal algebras L1 (G) n £P(G) (1 < p < oo) for locally compact abelian groups G and C*-algebra C0(0) on locally compact Hausdorff spaces O etc.
資源タイプ	紀要論文
出版タイプ	Version of Record