Quasi-complements in F-spaces
L. Drewnowski (1984)
Studia Mathematica
Similarity:
L. Drewnowski (1984)
Studia Mathematica
Similarity:
Manuel Valdivia (1997)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
Jesús Ferrer, Marek Wójtowicz (2011)
Open Mathematics
Similarity:
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)...
M. Ostrovskiĭ (1993)
Studia Mathematica
Similarity:
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.
Jesús M. Fernández Castillo, Yolanda Moreno (2002)
Extracta Mathematicae
Similarity:
Ivan Singer (1979)
Banach Center Publications
Similarity:
R. Fleming (1966)
Studia Mathematica
Similarity:
Anatolij M. Plichko, David Yost (2000)
Extracta Mathematicae
Similarity:
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.
Félix Cabello Sánchez, Jesús M. Fernández Castillo, David Yost (2000)
Extracta Mathematicae
Similarity:
Sobczyk's theorem is usually stated as: . Nevertheless, our understanding is not complete until we also recall: . Now the limits of the phenomenon are set: although c is complemented in separable superspaces, it is not necessarily complemented in a non-separable superspace, such as l.
R. Fleming, R. McWilliams, J. Retherford (1965)
Studia Mathematica
Similarity: