# On strong M-bases in Banach spaces with PRI.

Collectanea Mathematica (2000)

- Volume: 51, Issue: 3, page 277-284
- ISSN: 0010-0757

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topSinha, Deba P.. "On strong M-bases in Banach spaces with PRI.." Collectanea Mathematica 51.3 (2000): 277-284. <http://eudml.org/doc/41606>.

@article{Sinha2000,

abstract = {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.},

author = {Sinha, Deba P.},

journal = {Collectanea Mathematica},

keywords = {Espacios de Banach; Teoría de bases; projectional resolution of the identity; strong -basis; weakly countably determined space; dual of every Asplund space; weak angelic; Valdivia compact},

language = {eng},

number = {3},

pages = {277-284},

title = {On strong M-bases in Banach spaces with PRI.},

url = {http://eudml.org/doc/41606},

volume = {51},

year = {2000},

}

TY - JOUR

AU - Sinha, Deba P.

TI - On strong M-bases in Banach spaces with PRI.

JO - Collectanea Mathematica

PY - 2000

VL - 51

IS - 3

SP - 277

EP - 284

AB - 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.

LA - eng

KW - Espacios de Banach; Teoría de bases; projectional resolution of the identity; strong -basis; weakly countably determined space; dual of every Asplund space; weak angelic; Valdivia compact

UR - http://eudml.org/doc/41606

ER -