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 “Biorthogonal systems and bases in Banach space (Preliminary note)”
A simple proof of two theorems concerning bases of
Approximation properties and universal Banach spaces
Przemyslaw Wojtaszczyk (1972)
Mémoires de la Société Mathématique de France
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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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On strong M-bases in Banach spaces with PRI.
Deba P. Sinha (2000)
Collectanea Mathematica
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If every member of a class P of Banach spaces has a projectional resolution of the identity such that certain subspaces arising out of this resolution are also in the class P, then it is proved that every Banach space in P has a strong M-basis. Consequently, every weakly countably determined space, the dual of every Asplund space, every Banach space with an M-basis such that the dual unit ball is weak* angelic and every C(K) space for a Valdivia compact set K , has a strong M-basis. ...
On shrinking basic sequences in Banach spaces
David Dean, Ivan Singer, Leonard Stembach (1971)
Studia Mathematica
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Equivalence of Bases in Non-archimedean Banach Spaces
P.K. Jain, N.M. Kapoor (1980)
Publications de l'Institut Mathématique
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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.
Continuous mappings of a Banach space into a space
Dyer, James A. (1975)
Portugaliae mathematica
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On symmetric bases in nonseparable Banach spaces
Lech Drewnowski (1987)
Studia Mathematica
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On subspaces of locally convex spaces with unconditional Schauder bases
L. Drewnowski (1987)
Colloquium Mathematicae
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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...