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UNIVERSAL DILATIONS OF A COMPLETELY NONUNITARY NORMAL OPERATOR
http://hdl.handle.net/10131/5583
http://hdl.handle.net/10131/5583f42f2114-6c64-4b54-b265-14513b3cabf2
名前 / ファイル | ライセンス | アクション |
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YMJ_38_N2_1991_137-144.pdf (773.0 kB)
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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 | UNIVERSAL DILATIONS OF A COMPLETELY NONUNITARY NORMAL OPERATOR | |||||
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 |
Jung, Il Bong
× Jung, Il Bong× Jo, Young Soo |
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著者所属 | ||||||
Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu, 702-701, Korea | ||||||
著者所属 | ||||||
Department of Mathematics, Keimyung University, Taegu, 704-200, Korea | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Suppose $H$ is a separable, infinite dimensional, complex Hilbert space. Let $¥{¥lambda_{¥dot{t}} : 1¥leqq i¥leqq n¥}$ be a set of distinct elements in the open unit disc of the complex plane $C$ and let $T¥in A_{n}(H)$ (to be de ned below). In this paper, we show that if $N$ is a normal operator on an n-dimensional Hilbert space whose matrix to some orthonormal basis $¥{e_{¥ell} ; 1¥leqq i¥leqq n¥}$ is the diagonal matrix Diag $(¥{¥lambda_{i} : 1¥leqq i¥leqq n¥})$ , then there exist invariant subspaces , $M$ and $N$ for $T$ with $M¥subsetN$ such that the compression $ T_M¥ominus¥N$ of $T$ to $M¥ominusN$ is unitarily equivalent to $N$. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 38, 号 2, p. 137-144, 発行日 1991 |
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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 |