Affiliation:
1. Department of Mathematics , NIT Meghalaya , Shillong - 793003 , India
Abstract
Abstract
Fusion frames are widely studied for their applications in recovering signals from large data. These are proved to be very useful in many areas, for example, wireless sensor networks. In this paper, we discuss a generalization of fusion frames, K-fusion frames. K-fusion frames provide decompositions of a Hilbert space into atomic subspaces with respect to a bounded linear operator. This article studies various kinds of properties of K-fusion frames. Several perturbation results on K-fusion frames are formulated and analyzed.
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
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1. Controlled continuous $$*$$-g-frames in Hilbert $$C^{*}$$-modules;Journal of Pseudo-Differential Operators and Applications;2023-12-08