## On duals of $$p$$-frames.(English)Zbl 1280.42023

This paper is devoted to study the frame dual to the $$p$$-frame in a Banach space. Necessary and sufficient conditions for the existence of a frame dual to a $$p$$-frame are obtained. A theorem on the stability of the dual frame for sufficiently small perturbations of the $$p$$-frame is also proved.

### MSC:

 42C15 General harmonic expansions, frames 46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces

### Keywords:

frame; Banach space; dual frame; $$p$$-frame
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