Continuous Controlled Generalized Fusion Frames in Hilbert Spaces
Authors
-
Department of Mathematics, Barwan N. S. High School (HS), Murshidabad-742132 West Bengal ,IN
Prasenjit Ghosh -
Department of Mathematics, Uluberia College, Howrah-711315 West Bengal ,INT. K. Samanta
DOI:
https://doi.org/10.18311/jims/2024/31971Keywords:
Frame, g-Fusion Frame, Continuous g-Fusion Frame, Controlled Frame, Controlled g-Fusion Frame.Abstract
We introduce the notion of continuous controlled g-fusion frame in Hilbert space which is a generalization of discrete controlled g-fusion frame. Some characterizations of continuous controlled g-fusion frame have been presented.We define the frame operator and multiplier of continuous controlled g-fusion Bessel families in Hilbert spaces. Continuous resolution of the identity operator on a Hilbert space using the theory of continuous controlled g-fusion frame is being considered. Finally, we discuss perturbation results of continuous controlled g-fusion frame.
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Copyright (c) 2024 PRASENJIT GHOSH, Tapas Kumar Samanta
This work is licensed under a Creative Commons Attribution 4.0 International License.
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