Equivalence of Bases in Non-archimedean Banach Spaces
P.K. Jain, N.M. Kapoor (1980)
Publications de l'Institut Mathématique
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Displaying similar documents to “On Bases And Projections In Non-Archimedean Banach Spacs”
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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. ...