On bases with respect to a closure operator with the exchange property
Jerzy Płonka (1963)
Colloquium Mathematicae
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Displaying similar documents to “Orthogonal bases in a topological algebra are Schauder bases.”
On bases with respect to a closure operator with the exchange property
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Aspects of unconditionality of bases in spaces of compact operators
James R. Holub (1998)
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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...
Small digitwise perturbations of a number make it normal to unrelated bases.
Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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F-spaces with a basis which is which is shrinking but not hyper-shrinking
L. Drewnowski (1979)
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On subspaces of locally convex spaces with unconditional Schauder bases
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CSTUG editorial board (2009)
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Journal Supporting Parties on a Long-term Basis
CSTUG editorial board (2009)
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Equivalence of Bases in Non-archimedean Banach Spaces
P.K. Jain, N.M. Kapoor (1980)
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Bases of web Configurations
Aleksandar Krapež, M.A. Taylor (1985)
Publications de l'Institut Mathématique
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S. J. Szarek (1979-1980)
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A simple proof of two theorems concerning bases of
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Weak bases in -adic spaces
N. De Grande-De Kimpe, J. Kąkol, C. Perez-Garcia, W. H. Schikhof (2002)
Bollettino dell'Unione Matematica Italiana
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We study polar locally convex spaces over a non-archimedean non-trivially valued complete field with a weak topological basis. We prove two completeness theorems and a Hahn-Banach type theorem for locally convex spaces with a weak Schauder basis.