The Daugavet property in spaces of vector-valued Lipschitz functions

被引：0
|
作者：
Zoca, Abraham Rueda [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Anal Matematico, Granada 18071, Spain
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 02期
关键词：
Daugavet property; Lipschitz functions spaces; Projective tensor products; Spaces of operators; OCTAHEDRAL NORMS; TENSOR-PRODUCTS;
D O I：
10.1016/j.jfa.2023.110208
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that if a metric space M has the finite CEP then F(M)(circle times) over cap X-pi has the Daugavet property for every non-zero Banach space X. This applies, for instance, if M is a Banach space whose dual is isometrically an L-1(mu) space. If M has the CEP then L(F(M), X) = Lip(0)(M, X) has the Daugavet property for every non-zero Banach space X, showing that this is the case when M is an injective Banach space or a convex subset of a Hilbert space. (c) 2023 Elsevier Inc. All rights reserved.
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页数：22
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