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2013 On duals of $p$-frames
Ali Arefijamaal, Leili Mohammadkhani
Involve 6(3): 301-309 (2013). DOI: 10.2140/involve.2013.6.301

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.

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Ali Arefijamaal. Leili Mohammadkhani. "On duals of $p$-frames." Involve 6 (3) 301 - 309, 2013. https://doi.org/10.2140/involve.2013.6.301

Information

Received: 9 May 2012; Revised: 3 October 2012; Accepted: 6 October 2012; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1280.42023
MathSciNet: MR3101762
Digital Object Identifier: 10.2140/involve.2013.6.301

Subjects:
Primary: 42C15
Secondary: 46B15

Keywords: $P$-frame , alternate dual , Banach space , dual frame , frame

Rights: Copyright © 2013 Mathematical Sciences Publishers

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Vol.6 • No. 3 • 2013
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