On Schauder Frames in Conjugate Banach Spaces

Weak*-Schauder frame in conjugate Banach spaces has been introduced and studied. A sufficient condition for the existence of weak*-Schauder frame in the conjugate space of a separable Banach space has been given. It has been shown that has weak*-Schauder frame. Finally, a sufficient condition for t...

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Main Authors: S. K. Kaushik, S. K. Sharma, Khole Timothy Poumai
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/318659
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author S. K. Kaushik
S. K. Sharma
Khole Timothy Poumai
author_facet S. K. Kaushik
S. K. Sharma
Khole Timothy Poumai
author_sort S. K. Kaushik
collection DOAJ
description Weak*-Schauder frame in conjugate Banach spaces has been introduced and studied. A sufficient condition for the existence of weak*-Schauder frame in the conjugate space of a separable Banach space has been given. It has been shown that has weak*-Schauder frame. Finally, a sufficient condition for the existence of a Schauder frame sequence has been given.
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institution Kabale University
issn 2314-4629
2314-4785
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publishDate 2013-01-01
publisher Wiley
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spelling doaj-art-3c41ca67d2884cbe87829dfac62ca51e2025-02-03T01:23:22ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/318659318659On Schauder Frames in Conjugate Banach SpacesS. K. Kaushik0S. K. Sharma1Khole Timothy Poumai2Department of Mathematics, Kirori Mal College, University of Delhi, Delhi 110 007, IndiaDepartment of Mathematics, Kirori Mal College, University of Delhi, Delhi 110 007, IndiaDepartment of Mathematics, Motilal Nehru College, University of Delhi, Delhi 110 021, IndiaWeak*-Schauder frame in conjugate Banach spaces has been introduced and studied. A sufficient condition for the existence of weak*-Schauder frame in the conjugate space of a separable Banach space has been given. It has been shown that has weak*-Schauder frame. Finally, a sufficient condition for the existence of a Schauder frame sequence has been given.http://dx.doi.org/10.1155/2013/318659
spellingShingle S. K. Kaushik
S. K. Sharma
Khole Timothy Poumai
On Schauder Frames in Conjugate Banach Spaces
Journal of Mathematics
title On Schauder Frames in Conjugate Banach Spaces
title_full On Schauder Frames in Conjugate Banach Spaces
title_fullStr On Schauder Frames in Conjugate Banach Spaces
title_full_unstemmed On Schauder Frames in Conjugate Banach Spaces
title_short On Schauder Frames in Conjugate Banach Spaces
title_sort on schauder frames in conjugate banach spaces
url http://dx.doi.org/10.1155/2013/318659
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AT sksharma onschauderframesinconjugatebanachspaces
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