On totally smooth subspaces of Banach spaces: the Vlasov theorem revisited

被引：1

作者：

Oja, Eve ^{[1
,2
]}

Poldvere, Mart ^{[1
]}

Viil, Tauri ^{[1
]}

机构：

[1] Univ Tartu, Inst Math & Stat, J Liivi 2, EE-50409 Tartu, Estonia

[2] Estonian Acad Sci, Kohtu 6, EE-10130 Tallinn, Estonia

来源：

STUDIA MATHEMATICA | 2017年 / 238卷 / 01期

关键词：

Phelps' property U; nested sequence of balls; totally smooth subspace; NESTED SEQUENCES; BALLS; EXTENSIONS; UNIQUENESS; PROPERTY;

D O I：

10.4064/sm8623-12-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a Banach space and let Y be a closed subspace of X. We establish new geometric characterizations for Y to be totally smooth in X, meaning that every closed subspace of Y has Phelps' property U in X. In particular, this gives a new self-contained proof for a recent theorem of Liao and Wong, and an improved proof for a theorem of Vlasov.

引用

页码：91 / 99

页数：9

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