Some open problems in Banach space theory
Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
Similarity:
Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
Similarity:
W. Johnson, A. Szankowski (1976)
Studia Mathematica
Similarity:
Deba P. Sinha (2000)
Collectanea Mathematica
Similarity:
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. ...
Haskell Rosenthal (1976)
Studia Mathematica
Similarity:
Pandelis Dodos, Jordi Lopez-Abad (2008)
Studia Mathematica
Similarity:
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.
Jiří Vaníček (1960)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Alistair Bird, Niels Jakob Laustsen (2010)
Banach Center Publications
Similarity:
We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property on the other. We then investigate the properties of these James-Schreier spaces, paying particular attention to how key properties of their 'ancestors' (that is, the James space and the Schreier space) are expressed in them. Our main...
Dyer, James A. (1975)
Portugaliae mathematica
Similarity:
J. C. Díaz (1987)
Collectanea Mathematica
Similarity: