Laboratory of Partial Differential Equations, Algebra and Spectral Geometry, Department of Mathematics, Faculty of Sciences, Ibn Tofail UniversityKenitra, Morocco
Laboratory of Partial Differential Equations, Algebra and Spectral Geometry, Department of Mathematics, Faculty of Sciences, Ibn Tofail UniversityKenitra, Morocco
Laboratory of Partial Differential Equations, Algebra and Spectral Geometry, Department of Mathematics, Faculty of Sciences, Ibn Tofail UniversityKenitra, Morocco
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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.
