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Sum of K-frames in Hilbert C*-modules

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In this paper, we investigate some conditions under which the action of an operator on a Kframe, remain again a K-frame for Hilbert module E. We also give a generalization… Click to show full abstract

In this paper, we investigate some conditions under which the action of an operator on a Kframe, remain again a K-frame for Hilbert module E. We also give a generalization of Douglas theorem to prove that the sum of two K-frames under certain condition is again a K-frame. Finally, we characterize the K-frame generators in terms of operators.

Keywords: hilbert modules; frames hilbert; sum frames

Journal Title: Filomat
Year Published: 2020

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