Arefijamaal, Ali Akbar; Mohammadkhani, Leili On duals of \(p\)-frames. (English) Zbl 1280.42023 Involve 6, No. 3, 301-309 (2013). 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. Reviewer: Bilal Bilalov (Baku) 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 PDF BibTeX XML Cite \textit{A. A. Arefijamaal} and \textit{L. Mohammadkhani}, Involve 6, No. 3, 301--309 (2013; Zbl 1280.42023) Full Text: DOI OpenURL