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On duals of
$p$-frames
Ali Akbar Arefijamaal and Leili Mohammadkhani
Vol. 6 (2013), No. 3, 301–309
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Abstract |
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The concept of frames in a Banach space has been introduced by Gröchenig and developed by several authors. The main feature of a frame is to present every element of the underlying Banach space as a norm-convergent series. In this decomposition, the dual frame plays an essential role. The existence of a dual -frame is not guaranteed in general. Some characterizations of duals of -frames are given in this paper. |
Keywords
frame, Banach space, dual frame, $p$-frame, alternate dual
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Mathematical Subject Classification 2010
Primary: 42C15
Secondary: 46B15
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Milestones
Received: 9 May 2012
Revised: 3 October 2012
Accepted: 6 October 2012
Published: 8 September 2013
Communicated by Mohammad Sal Moslehian
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Authors |
| Ali Akbar Arefijamaal | |
| Department of Mathematics and
Computer Sciences Hakim Sabzevari University Sabzevar Iran |
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| Leili Mohammadkhani | |
| Department of Mathematics and
Computer Sciences Hakim Sabzevari University Sabzevar Iran |
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