#### Vol. 6, No. 3, 2013

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On duals of $p$-frames

### Ali Akbar Arefijamaal and Leili Mohammadkhani

Vol. 6 (2013), No. 3, 301–309
##### Abstract

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 $p$-frame is not guaranteed in general. Some characterizations of duals of $p$-frames are given in this paper.

##### Keywords
frame, Banach space, dual frame, $p$-frame, alternate dual
Primary: 42C15
Secondary: 46B15