Weak compact generating in duality
Kamil John, Václav Zizler (1976)
Studia Mathematica
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Kamil John, Václav Zizler (1976)
Studia Mathematica
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Jiří Reif (1974)
Commentationes Mathematicae Universitatis Carolinae
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L. Vašák (1981)
Studia Mathematica
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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.
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. ...
Z. Semadeni (1963)
Studia Mathematica
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Marián Fabian, Gilles Godefroy (1988)
Studia Mathematica
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Anatolij M. Plichko, David Yost (2000)
Extracta Mathematicae
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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.