期刊
STUDIA MATHEMATICA
卷 191, 期 1, 页码 67-80出版社
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
DOI: 10.4064/sm191-1-5
关键词
atomic decompositions; Banach frames; duality; reflexivity
类别
资金
- PICT [05 17-33042, 06 00587, 06 00897]
- UBACyT [X108, X038, X863]
We study atomic decompositions and their relationship with duality and reflexivity of Banach spaces. To this end, we extend the concepts of shrinking and boundedly complete Schauder basis to the atomic decomposition framework. This allows us to answer a basic duality question: when an atomic decomposition for a Banach space generates, by duality, an atomic decomposition for its dual space. We also characterize the reflexivity of a Banach space in terms of properties of its atomic decompositions.
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