Controlled K-Fusion Frame for Hilbert Spaces

Assila, Nadia; Kabbaj, Samir; Moalige, Brahim

doi:10.2478/mjpaa-2021-0011

Abstract

K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which generalize some well known results of controlled fusion frame case. Also we discuss some characterizations of controlled Bessel K-fusion sequences and of controlled K-fusion frames. Further, we analyze stability conditions of controlled K-fusion frames under perturbation.

References

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Controlled K-Fusion Frame for Hilbert Spaces

Abstract

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