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THE ARENS PRODUCT AND QUASI-MULTIPLIERS
http://hdl.handle.net/10131/5508
http://hdl.handle.net/10131/55088796a100-2e8c-404d-b9e5-9dc706049c57
名前 / ファイル | ライセンス | アクション |
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YMJ_33_N1-2_1985_049-066.pdf (1.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | THE ARENS PRODUCT AND QUASI-MULTIPLIERS | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Vasudevan, R.
× Vasudevan, R.× Goel, Satya× Takahasi, S. |
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著者所属 | ||||||
Department of Mathematics, University of Delhi, Delhi-110007, INDIA | ||||||
著者所属 | ||||||
Department of Mathematics, Ibaraki University, 2-1-1 Bunkyo, Mito, 310 Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $A$ be a Banach algebra satisfying conditions weaker than having a two-sided bounded approximate identity. Let $QM(A)$ denote the Banach space of all quasi-multipliers on $A$ . We construct a Banach space $B_{0}$ whose conjugate space $B_{0}^{*}$ is a left $B_{1}^{*}$-module and right $B_{2}^{*}$-module under modified Arens product. It is shown that for Banach algebras satisfying this weaker condition, $QM(A)$ can be embedded isometrically isomorphically into $B_{0}^{*}$. We also show that this embedding of $QM(A)$ in $B_{0}^{*}$ is an extension of the embedding of $M_{r}(A)(M_{¥ell}(A))$ the algebra of all right multipliers (algebra of left multipliers) on $A$ in $B_{1}^{*}(B_{2}^{*})$ [6]. It is also shown that if $A$ is a dual $A^{*}$-algebra of the first kind, then $QM(A)$ is isometrically isomorphic to $B_{0}^{s}$ . | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 33, 号 1&2, p. 49-66, 発行日 1985 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University |