The Existence of Linear Selection and the Quotient Lifting Property

Monika; Fernanda Botelho; Richard Fleming

The Existence of Linear Selection and the Quotient Lifting Property

Functional Analysis 2021-03-11 v1

Authors: Monika , Fernanda Botelho , Richard Fleming

Abstract

Lifting properties for Banach spaces are studied. An alternate version of the lifting property due to Lindenstrass and Tzafriri is proposed and a characterization, up to isomorphism, is given. The quotient lifting property for pairs of Banach spaces $(X,J)$ , with $J$ proximinal in $X$ , is considered and several conditions for the property to hold are given.

Keywords

lifting property Banach spaces quotient lifting property proximinal subspace linear selection

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@article{arxiv.2103.06214,
  title  = {The Existence of Linear Selection and the Quotient Lifting Property},
  author = {Monika and Fernanda Botelho and Richard Fleming},
  journal= {arXiv preprint arXiv:2103.06214},
  year   = {2021}
}

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16 pages and 2 figures

The Existence of Linear Selection and the Quotient Lifting Property

Abstract

Keywords

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