Anatolij M. Plichko, David Yost (2000)
Extracta Mathematicae
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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.
W. Szlenk (1968)
Studia Mathematica
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Manuel Valdivia (1997)
Revista Matemática de la Universidad Complutense de Madrid
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M. Ostrovskiĭ (1993)
Studia Mathematica
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The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.
Béla Bollobás, Imre Leader (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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Lech Drewnowski (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Jesús Ferrer, Marek Wójtowicz (2011)
Open Mathematics
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Let X, Y be two Banach spaces. We say that Y is a quasi-quotient of X if there is a continuous operator R: X → Y such that its range, R(X), is dense in Y. Let X be a nonseparable Banach space, and let U, W be closed subspaces of X and Y, respectively. We prove that if X has the Controlled Separable Projection Property (CSPP) (this is a weaker notion than the WCG property) and Y is a quasi-quotient of X, then the structure of Y resembles the structure of a separable Banach space: (a)...
Dick van Dulst, Ivan Singer (1976)
Studia Mathematica
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W. Davis, W. Johnson (1973)
Studia Mathematica
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