Continuous frames in n-Hilbert spaces and their tensor products
Functional Analysis
2024-03-07 v1
Abstract
We introduce the notion of continuous frame in n-Hilbert space which is a generalization of discrete frame in n-Hilbert space. The tensor product of Hilbert spaces is a very important topic in mathematics. Here we also introduce the concept of continuous frame for the tensor products of n-Hilbert spaces. Further, we study dual continuous frame and continuous Bessel multiplier in n-Hilbert spaces and their tensor products.
Keywords
Cite
@article{arxiv.2204.04586,
title = {Continuous frames in n-Hilbert spaces and their tensor products},
author = {Prasenjit Ghosh and T. K. Samanta},
journal= {arXiv preprint arXiv:2204.04586},
year = {2024}
}
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20 pages