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.
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页码：774 / 781
页数：8
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