Asia Mathematika

An International Journal. ISSN: 2457-0834 (online)

Volume 2, Issue 2, August 2018, Pages: 52-60

K-operator Frame for End*A(H)

Mohamed Rossafi and Samir Kabbaj

Department of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, Morocco.

Abstract

Frames generalize orthonormal bases and allow representation of all the elements of the space. Frames play significant role in signal and image processing, which leads to many applications in informatics, engineering, medicine, and probability. In this paper, we introduce the concepts of K-operator frame for the space End*A(H) of all adjointable operators on a Hilbert A-module H and we establish some results.

Keywords

K-frame, K-operator frame, C* -algebra, Hilbert A-modules

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Reference

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