Biorthogonal systems and bases in Banach space (Preliminary note)
Jiří Vaníček (1960)
Commentationes Mathematicae Universitatis Carolinae
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Jiří Vaníček (1960)
Commentationes Mathematicae Universitatis Carolinae
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Lech Drewnowski (1988)
Studia Mathematica
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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. ...
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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P.K. Jain, N.M. Kapoor (1980)
Publications de l'Institut Mathématique
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Lech Drewnowski (1987)
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David Dean, Ivan Singer, Leonard Stembach (1971)
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Dyer, James A. (1975)
Portugaliae mathematica
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Ondrej F. K. Kalenda (2002)
Colloquium Mathematicae
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We prove, among other things, that the space C[0,ω₂] has no countably norming Markushevich basis. This answers a question asked by G. Alexandrov and A. Plichko.