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Controlled frames in n-Hilbert spaces and their tensor products

2021/09/01 by Prasenjit Ghosh, Ghosh, Prasenjit, T. K. Samanta +1
Mathematics · Medicine · #46C50 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #Primary 42C15 #Secondary 46C07 #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2109.00543

openalex publication_date 2021/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concepts of controlled frames and it's dual in n-Hilbert spaces and their tensor products have been introduced and then some of their characterizations are given. We further study the relationship between controlled frame and bounded linear operator in tensor product of n-Hilbert spaces. At the end, the direct sum of controlled frames in n-Hilbert space is being considered.

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