Dual Banach Spaces which Contain an Isometric Copy of L_1

Stephen J. Dilworth; Maria Girardi; James Hagler

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Dual Banach Spaces which Contain an Isometric Copy of L_1

机译：包含L_1的等距副本的对偶Banach空间

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摘要

A Banach space contains asymptotically isometric copies of l_1 if and only if its dual space contains an isometric copy of L_1.

机译：当且仅当其对偶空间包含L_1的等距副本时，Banach空间包含l_1的渐近等距副本。

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《Bulletin of the Polish Academy of Sciences. Mathematics》 |2000年第1期|共12页
作者
Stephen J. Dilworth; Maria Girardi; James Hagler;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Banach spaces; asymptotically isometric copies of l_1; isometric copy of L_1;

机译：Banach空间;l_1的渐近等距副本;L_1的等距副本;

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专利

1. Dual Banach Spaces which Contain an Isometric Copy of L_1 [J] . Stephen J. Dilworth, Maria Girardi, James Hagler Bulletin of the Polish Academy of Sciences. Mathematics . 2000,第1期

机译：包含L_1的等距副本的对偶Banach空间
2. Complemented isometric copies of L-1 in dual Banach spaces [J] . Hagler J. Proceedings of the American Mathematical Society . 2002,第11期

机译：双Banach空间中L-1的互补等距复制
3. POLYNOMIALS ON BANACH SPACES WHOSE DUALS ARE ISOMORPHIC TO l_1(Γ) [J] . Raffaella Cilia, Maria DAnna, Joaquin M. Gutierrez Bulletin of the Australian Mathematical Society . 2004,第1期

机译：二值对l_1（Γ）是同构的Banach空间上的多项式
4. Duality Gap Estimates for a Class of Greedy Optimization Algorithms in Banach Spaces [C] . Sergei Sidorov, Kirill Spiridinov International Conference on Mathematical Optimization Theory and Operations Research . 2021

机译：Banach空间中一类贪婪优化算法的二元差距估计
5. Operator space tensor products and the second dual of a Banach algebra. [D] . Cao, Haiping. 2006

机译：算符空间张量积和Banach代数的第二对偶。
6. A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space [O] . Robert C. James 2019

机译：具有第二共轭空间的非自反Banach空间等距
7. Dual Banach spaces which contain an isometric copy of $L_1$ [O] . Dilworth, S. J., Girardi, Maria, Hagler, J. 2000

机译：双Banach空间，包含$ L_1 $的等距副本

Dual Banach Spaces which Contain an Isometric Copy of L_1

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