# Numerical radius Haagerup norm and square factorization through Hilbert spaces

## 抄録

We study a factorization of bounded linear maps from an operator space <i>A</i> to its dual space <i>A</i><sup>*</sup>. It is shown that <i>T</i>: <i>A</i>→<i>A</i><sup>*</sup> factors through a pair of column Hilbert space \$¥mathscr{H}\$<sub><i>c</i></sub> and its dual space if and only if <i>T</i> is a bounded linear form on <i>A</i>\$¥otimes\$<i>A</i> 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.

## 収録刊行物

• Journal of the Mathematical Society of Japan

Journal of the Mathematical Society of Japan 58(2), 363-377, 2006-04-01

The Mathematical Society of Japan

## 各種コード

• NII論文ID(NAID)
10018381245
• NII書誌ID(NCID)
AA0070177X
• 本文言語コード
ENG
• 資料種別
ART
• ISSN
00255645
• NDL 記事登録ID
7892100
• NDL 雑誌分類
ZM31(科学技術--数学)
• NDL 請求記号
Z53-A209
• データ提供元
CJP書誌  NDL  J-STAGE

ページトップへ