Controlled frames in n-Hilbert spaces and their tensor products

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.

26 pages. arXiv admin note: text overlap with arXiv:2101.01657, arXiv:2101.01938, arXiv:2104.01535