Constructing Controlled K-Frames via Operators

Abstract

The theory of frames have become a useful tool in signal processing, allowing uniform descrip-tion of many linear but non-orthogonal transform techniques. The main purpose of the paper is to establish an operator theoretic approach for constructing controlled K-frames in Hilbert spaces from operators satis-fying suitable properties.

The theory of frames have become a useful tool in signal processing, allowing uniform description of many linear but non-orthogonal transform techniques. The main purpose of the paper is to establish an operator theoretic approach for constructing controlled $ \mathcal{K}$-frames in Hilbert spaces from operators satisfying suitable properties.