K-frames in Hilbert $C^*$-modules

Gh. Abbaspour Tabadkan; A. A. Arefijamaal; M. Mahmoudieh

paper

K-frames in Hilbert $C^{*}$ -modules

arXiv:1802.01947

Abstract

In this paper, firstly we investigate conditions under which the action of an operator on a $K$ -frame, remain again a $K$ -frame for Hilbert module E. We also give a generalization of Douglas Theorem and we shall use it to prove the sum of two $K$ -frame under certain condition is again a $K$ -frame. Finally, we characterize the $K$ -frame generators for a unitary system in terms of operators.

14 pages

K-frames in Hilbert C∗-modules

Abstract

K-frames in Hilbert $C^{*}$ -modules