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On Schauder frames in conjugate Banach spaces - MaRDI portal

On Schauder frames in conjugate Banach spaces (Q355687)

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scientific article; zbMATH DE number 6191142
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On Schauder frames in conjugate Banach spaces
scientific article; zbMATH DE number 6191142

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    On Schauder frames in conjugate Banach spaces (English)
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    25 July 2013
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    Summary: Weak\(^\ast\)-Schauder frames in conjugate Banach spaces are introduced and studied. A sufficient condition for the existence of weak\(^\ast\)-Schauder frames in the conjugate space of a separable Banach space is given. It is shown that \(\ell_\infty\) has a weak\(^\ast\)-Schauder frame. Finally, a sufficient condition for the existence of a Schauder frame sequence is given.
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    weak\(^\ast\)-Schauder frame
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