Continuous controlled generalized fusion frames in Hilbert spaces

2021/10/04 by Prasenjit Ghosh, Ghosh, Prasenjit, T. K. Samanta +1
Mathematics · #42C15 #42C40 #46C07 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2110.11234

openalex publication_date 2021/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of continuous controlled g-fusion frame in Hilbert space which is the generalization of discrete controlled g-fusion frame and give an example. 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.

Citations

• Controlled K-frames in Hilbert Spaces

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