Some open problems in Banach space theory
Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
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Displaying similar documents to “Two geometric constants for operators acting on a separable Banach space.”
Some open problems in 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. ...
Approximation properties and universal Banach spaces
Przemyslaw Wojtaszczyk (1972)
Mémoires de la Société Mathématique de France
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On shrinking basic sequences in Banach spaces
David Dean, Ivan Singer, Leonard Stembach (1971)
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On unconditionally saturated Banach spaces
Pandelis Dodos, Jordi Lopez-Abad (2008)
Studia Mathematica
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We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set 𝓐, in the Effros-Borel space of subspaces of C[0,1], of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space Y, with a Schauder basis, that contains isomorphic copies of every space X in the class 𝓐.
A note on weakly Lindelöf determined Banach spaces
A. González, Vicente Montesinos (2009)
Czechoslovak Mathematical Journal
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We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.
On Banach spaces in which every M-basis is a generalized summation basis
Ivan Singer (1979)
Banach Center Publications
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Some results on Banach spaces without local unconditional structure
Gilles Pisier (1978)
Compositio Mathematica
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