Controlled K-Fusion Frame for Hilbert Spaces
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 control...
| Main Authors: | , , |
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| פורמט: | Article |
| שפה: | English |
| יצא לאור: |
Sciendo
2021-01-01
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| סדרה: | Moroccan Journal of Pure and Applied Analysis |
| נושאים: | |
| גישה מקוונת: | https://doi.org/10.2478/mjpaa-2021-0011 |
| סיכום: | 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. |
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| ISSN: | 2351-8227 |