Constructions of bi-g-fusion frame in Hilbert space

2024/10/14 by Prasenjit Ghosh, Ghosh, Prasenjit, T. K. Samanta +1
Mathematics · Medicine · Physics and Astronomy · #42C15 #46C07 #Advanced Differential Geometry Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2411.00778

openalex publication_date 2024/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concept of a bi-g-fusion frame for a Hilbert space, which is a generalizations of a controlled g-fusion frame, is introduced and an example is given. Finally, bi-g-fusion frame in tensor product of Hilbert spaces is considered.

Related

• Generalized fusion frames in Hilbert spaces
• K-bi-g-frames in Hilbert spaces
• Some identities and inequalities for g-fusion frames
• Continuous controlled generalized fusion frames in Hilbert spaces
• Construction of k-g-fusion frames and their duals in Hilbert spaces