Controlled K-Fusion Frame for Hilbert Spaces

2020/07/09 by Assila, N., Kabbaj, S., Moalige, B.
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2007.05110

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 generalized some well known of controlled fusion frames case. also we discuss some characterizations of controlled Bessel K-fusion sequences and of controlled Bessel K-fusion. Further, we analyse stability conditions of controlled K-fusion frames under perturbation.

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