On strong M-bases in Banach spaces with PRI.

Sinha, 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 -