Abstract: Banach frame systems in Banach spaces have been defined and studied. A sufficient condition under which a Banach space, having a Banach frame, has a Banach frame system has been given. Also, it has been proved that a Banach space E is separable if and only if E* has a Banach frame ({φ n },T) with each φ n weak*-continuous. Finally, a necessary and sufficient condition for a Banach Bessel sequence to be a Banach frame has been given.
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 6
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