Frame operators of K-frames

Abstract

A close relation between frames on a separable Hilbert space H and positive invertible bounded operators is known. In this paper, it is shown that for a bounded operator K on H, there is a relationship between K-frames and quotient operators. Results on K-frames have been proved through operator-theoretic results on quotient of bounded operators. © 2016, Sociedad Española de Matemática Aplicada.