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Hokkaido University Preprint Series in Mathematics >
On characterizations of the image of Gelfand transform of commutative Banach algebras
| Title: | On characterizations of the image of Gelfand transform of commutative Banach algebras |
| Authors: | Inoue, J. Browse this author | | Takahashi, S.-E Browse this author |
| Issue Date: | 1-Apr-1997 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 374 |
| Start Page: | 1 |
| End Page: | 30 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69124 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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