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

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

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

Operator Algebras 2018-02-07 v1

Authors: Gh. Abbaspour Tabadkan , A. A. Arefijamaal , M. Mahmoudieh

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.

Keywords

frame theory hilbert modules algebraic k-theory

Cite

@article{arxiv.1802.01947,
  title  = {K-frames in Hilbert $C^*$-modules},
  author = {Gh. Abbaspour Tabadkan and A. A. Arefijamaal and M. Mahmoudieh},
  journal= {arXiv preprint arXiv:1802.01947},
  year   = {2018}
}

Comments

14 pages

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