On relatively disjoint families of measures, with some applications to Banach space theory
Haskell Rosenthal (1970)
Studia Mathematica
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Displaying similar documents to “The structure of nonseparable Banach spaces with uncountable unconditional bases.”
On relatively disjoint families of measures, with some applications to Banach space theory
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 Banach spaces containing complemented and uncomplemented subspaces isomorphic to c.
Elói Medina Galego, Anatolij Plichko (2003)
Extracta Mathematicae
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In this short note we give a negative answer to a question of Argyros, Castillo, Granero, Jiménez and Moreno concerning Banach spaces which contain complemented and uncomplemented subspaces isomorphic to c.
Banach spaces not having copies of 1 and Z.
Baltasar Rodriguez-Salinas (1990)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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On the structure of a vector measure.
Baltasar Rodriguez-Salinas (1990)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Some more Banach spaces which contain l¹
James Hagler (1973)
Studia Mathematica
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Note on a Banach space having equal linear dimension with is second dual.
Anatolij Plichko, M. Wójtowicz (2003)
Extracta Mathematicae
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An extension of a theorem of Rosenthal on operators acting from
L. Drenowski (1976)
Studia Mathematica
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A Characterization of Weakly Lindelöf Determined Banach Spaces
Kalenda, Ondřej (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 46B26, 46B03, 46B04. We prove that a Banach space X is weakly Lindelöf determined if (and only if) each non-separable Banach space isomorphic to a complemented subspace of X has a projectional resolution of the identity. This answers a question posed by S. Mercourakis and S. Negrepontis and yields a converse of Amir-Lindenstrauss’ theorem. We also prove that a Banach space of the form C(K) where K is a continuous image of a Valdivia...
A converse to Amir-Lindenstrauss theorem in complex Banach spaces.
Ondrej F. K. Kalenda (2006)
RACSAM
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We show that a complex Banach space is weakly Lindelöf determined if and only if the dual unit ball of any equivalent norm is weak* Valdivia compactum. We deduce that a complex Banach space X is weakly Lindelöf determined if and only if any nonseparable Banach space isomorphic to a complemented subspace of X admits a projectional resolution of the identity. These results complete the previous ones on real spaces.