Controlled K-Fusion Frame for Hilbert Spaces

Moroccan Journal of Pure and Applied Analysis

Assila Nadia¹  Kabbaj Samir¹  Moalige Brahim¹ 

[1] Laboratory of Partial Differential Equations, Algebra and Spectral Geometry, Department of Mathematics, Faculty of Sciences, Ibn Tofail University, B.P. 133, Kenitra, Morocco;

关键词: fusion frame;    k-fusion frame;    controlled fusion frame;    stability;    42c15;    46a35;    26a18;   

DOI  :  10.2478/mjpaa-2021-0011

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown