Open AccessBanach Frames for Conjugate Banach Spaces
Author(s) -
Pawan Jain,
S. K. Kaushik,
Lalit Kumar Vashisht
Publication year - 2004
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1217
Subject(s) - conjugate , banach manifold , banach space , eberlein–šmulian theorem , infinite dimensional vector function , mathematics , lp space , pure mathematics , mathematical analysis
Retro Banach frames for conjugate Banach spaces have been introduced and studied. It has been proved that a Banach space E is separable if and only if E∗ has a retro Banach frame. Finally, a necessary and sufficient condition for a sequence in a separable Banach space to be a retro Banach frame has been given.
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