Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
R. Fleming (1966)
Studia Mathematica
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Displaying similar documents to “On the -sequential closure of subspaces of Banach spaces”
Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces
Stan K. Kranzler, T. S. McDermott (1975)
Czechoslovak Mathematical Journal
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Some properties of basic sequences in Banach spaces.
Manuel Valdivia (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Every compact sequential space is Fréchet
V. Kannan (1980)
Fundamenta Mathematicae
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Bornological spaces of type
Govaerts, W. (1982)
Portugaliae mathematica
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On decompositions of Banach spaces into a sum of operator ranges
V. Fonf, V. Shevchik (1999)
Studia Mathematica
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It is proved that a separable Banach space X admits a representation as a sum (not necessarily direct) of two infinite-codimensional closed subspaces and if and only if it admits a representation as a sum (not necessarily direct) of two infinite-codimensional operator ranges. Suppose that a separable Banach space X admits a representation as above. Then it admits a representation such that neither of the operator ranges , contains an infinite-dimensional closed subspace...
L-summands in their biduals have Pełczyński's property (V*)
Hermann Pfitzner (1993)
Studia Mathematica
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Banach spaces which are L-summands in their biduals - for example , the predual of any von Neumann algebra, or the dual of the disc algebra - have Pełczyński’s property (V*), which means that, roughly speaking, the space in question is either reflexive or is weakly sequentially complete and contains many complemented copies of .
Total subspaces in dual Banach spaces which are not norming over any infinite-dimensional subspace
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.
The space is not -complete
Manuel Valdivia (1977)
Annales de l'institut Fourier
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Certain classes of locally convex space having non complete separated quotients are studied and consequently results about -completeness are obtained. In particular the space of L. Schwartz is not -complete where denotes a non-empty open set of the euclidean space .