Numerical radius Haagerup norm and square factorization through Hilbert spaces
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概要
- 論文の詳細を見る
We study a factorization of bounded linear maps from an operator space A to its dual space A*. It is shown that T: A→A* factors through a pair of column Hilbert space $¥mathscr{H}$c and its dual space if and only if T is a bounded linear form on A$¥otimes$A by the canonical identification equipped with a numerical radius type Haagerup norm. As a consequence, we characterize a bounded linear map from a Banach space to its dual space, which factors through a pair of Hilbert spaces.
- 社団法人 日本数学会の論文
- 2006-04-01
著者
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ITOH Takashi
Department of Applied Chemistry, Graduate School of Engineering, Tohoku University
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NAGISA Masaru
Department of Mathematics and Informatics Faculty of Science Chiba University
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Nagisa Masaru
Department Of Mathematics And Informatics Chiba University
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Itoh Takashi
Department Of Mathematics Gunma University
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NAGISA Masaru
Department of Applied Mathematics Faculty of Engineering Science Osaka University
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