株式会社極東書店トップ ＞ 商品一覧 ＞ Spear Operators Between Banach Spaces. 1st ed. 2018.
商品詳細
Spear Operators Between Banach Spaces. 1st ed. 2018.
・ISBN 978-3-319-71332-8 paper EUR 44.99
￥12,025.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
| 著者・編者 | Kadets, Vladimir / Martin, Miguel / Meri, Javier / Perez, Antonio, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 164 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-16609＞ |
解説
This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X ? Y there exists a modulus-one scalar ? such that
The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.
? G+?T? = 1 + ?T?.
This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L?. The relationships with the Radon-Nikodym property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied.The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.