The existence of linear selection and the quotient lifting property

被引：2

作者：

Monika ^{[1
]}

Botelho, Fernanda ^{[1
]}

Fleming, Richard ^{[2
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[2] Cent Michigan Univ, Mt Pleasant, MI 48859 USA

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2022年 / 53卷 / 03期

关键词：

Lifting property; Quotient lifting property; Metric projection; Metric complement; Proximinal subspaces; Linear selection;

D O I：

10.1007/s13226-021-00171-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Lifting properties for Banach spaces are studied. An alternate version of the lifting property due to Lindenstrass and Tzafriri leads to a new geometric property called the quotient lifting property for pairs of Banach spaces (X, J), with J proximinal in X. Several necessary and sufficient conditions for the property to hold are given.

引用

页码：774 / 781

页数：8

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