Most of the material discussed below will appear in the forthcoming paper by T. Figiel, W. B. Johnson and the author. We study the following invariant of non-separable Banach spaces. Definition 1. A Banach space X has scp=(separable complementation property) provided that every separable subspace of X is contained in a separable complemented subspace of X. Recall that the following classes of Banach spaces have scp (a) Abstract L−spaces [K]. (b) Preduals of C∗−algebras (Haagerup [GGMS, Appendix]). (c) Weakly compactly determined spaces, in particular weakly compactly generated spaces
In this survey we shaw that the separable quotient problem for Banach spac ~ in equivalent to severa...
AbstractMotivated by a characterization of the complemented subspaces in Banach spaces X isomorphic ...
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
This work introduces operator space analogues of the Separable Extension Property (SEP) for Banach s...
1. Sobczyk’s theorem and how to prove it Sobczyk’s theorem is usually stated as: Every copy of c0 in...
A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Bana...
AbstractWe will introduce the countable separation property (CSP) of Banach spaces X, which is defin...
This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces...
AbstractThere is a Banach space X enjoying the Radon-Nikodým Property and a separable subspace Y whi...
Throughout this note, whenever K is a compact space C(K) denotes the Banach space of continuous func...
The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for sep...
The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for sep...
In this note, we obtain that all separable Frechet-Hilbert spaces have the property of smallness up ...
We analyse several examples of separable Banach spaces, some of them new, and relate them to several...
AbstractWe give several characterizations of those Banach spaces X such that the dual X∗ contains a ...
In this survey we shaw that the separable quotient problem for Banach spac ~ in equivalent to severa...
AbstractMotivated by a characterization of the complemented subspaces in Banach spaces X isomorphic ...
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
This work introduces operator space analogues of the Separable Extension Property (SEP) for Banach s...
1. Sobczyk’s theorem and how to prove it Sobczyk’s theorem is usually stated as: Every copy of c0 in...
A simple way of obtaining separable quotients in the class of weakly countably determined (WCD) Bana...
AbstractWe will introduce the countable separation property (CSP) of Banach spaces X, which is defin...
This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces...
AbstractThere is a Banach space X enjoying the Radon-Nikodým Property and a separable subspace Y whi...
Throughout this note, whenever K is a compact space C(K) denotes the Banach space of continuous func...
The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for sep...
The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for sep...
In this note, we obtain that all separable Frechet-Hilbert spaces have the property of smallness up ...
We analyse several examples of separable Banach spaces, some of them new, and relate them to several...
AbstractWe give several characterizations of those Banach spaces X such that the dual X∗ contains a ...
In this survey we shaw that the separable quotient problem for Banach spac ~ in equivalent to severa...
AbstractMotivated by a characterization of the complemented subspaces in Banach spaces X isomorphic ...
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
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