The Existence of Linear Selection and the Quotient Lifting Property

10 Mar 2021  ·  Monika, Fernanda Botelho, Richard Fleming ·

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. read more

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Functional Analysis 47L05, 46B28, 46B25