Remarks on a problem of Banach
Roman Sikorski (1948)
Colloquium Mathematicum
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Displaying similar documents to “On C(S)-subspaces of separable Banach spaces”
Remarks on a problem of Banach
On separable Banach spaces containing all separable reflexive Banach spaces
Przemysław Wojtaszczyk (1971)
Studia Mathematica
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Generalization of Steffensen's method for operator equations in Banach space
Kuo-Wang Chen (1964)
Commentationes Mathematicae Universitatis Carolinae
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The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
W. Szlenk (1968)
Studia Mathematica
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A functional-differential equation in a Banach space
Bogdan Rzepecki (1979)
Annales Polonici Mathematici
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Banach Spaces of Type p have Arbitrarily Distortable Subspaces.
N. Tomczak-Jaegermann (1996)
Geometric and functional analysis
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Existence, uniqueness and continuous dependence of solutions of differential equations in Banach space
Michał Kisielewicz (1989)
Annales Polonici Mathematici
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Some strongly bounded classes of Banach spaces
Pandelis Dodos, Valentin Ferenczi (2007)
Fundamenta Mathematicae
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We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.
On the extension of positive linear functionals.
Muhamadiev, Ergashboy, Diab, Adel T. (2000)
International Journal of Mathematics and Mathematical Sciences
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Quotients of Banach spaces and surjectively universal spaces
Pandelis Dodos (2010)
Studia Mathematica
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We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.
Complemented and uncomplemented subspaces of Banach spaces.
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.
The controlled separable projection property for Banach spaces
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)...