A simple proof of two theorems concerning bases of
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Displaying similar documents to “Equivalence of Bases in Non-archimedean Banach Spaces”
A simple proof of two theorems concerning bases of
Biorthogonal systems and bases in Banach space (Preliminary note)
Jiří Vaníček (1960)
Commentationes Mathematicae Universitatis Carolinae
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Aspects of unconditionality of bases in spaces of compact operators
James R. Holub (1998)
Annales Polonici Mathematici
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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...
On subspaces of locally convex spaces with unconditional Schauder bases
L. Drewnowski (1987)
Colloquium Mathematicae
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On Bases And Projections In Non-Archimedean Banach Spacs
P. K. Jain, N. M. Kapoor (1977)
Publications de l'Institut Mathématique
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On shrinking basic sequences in Banach spaces
David Dean, Ivan Singer, Leonard Stembach (1971)
Studia Mathematica
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Remark on our paper "On bases in Banach spaces" (Studia Math. 170 (2005), 147-171)
T. Bartoszyński, M. Džamonja, L. Halbeisen, E. Murtinová, A. Plichko (2009)
Studia Mathematica
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On symmetric bases in nonseparable Banach spaces
Lech Drewnowski (1987)
Studia Mathematica
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Quotients with a shrinking basis
Jorge Mujica (2012)
Studia Mathematica
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We present a simple proof of a theorem that yields as a corollary a result of Valdivia that sharpens an old result of Johnson and Rosenthal.
Compact diagonal linear operators on Banach spaces with unconditional bases.
Choi, Yun Sung, Kim, Sung Guen (1993)
International Journal of Mathematics and Mathematical Sciences
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Families of almost disjoint Hamel bases.
Lorenz Halbeisen (2005)
Extracta Mathematicae
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For infinite dimensional Banach spaces X we investigate the maximal size of a family of pairwise almost disjoint normalized Hamel bases of X, where two sets A and B are said to be almost disjoint if the cardinality of A ∩ B is smaller than the cardinality of either A or B.