2004•Zeitschrift für Analysis und ihre AnwendungenOpen access

Banach Frames for Conjugate Banach Spaces

Pawan Jain, S. K. Kaushik, Lalit Kumar Vashisht

Abstract

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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Key concepts: Conjugate, Banach manifold, Banach space, Eberlein–Šmulian theorem, Infinite-dimensional vector function, Mathematics, Lp space, Pure mathematics