Introduction of frame in tensor product of n-Hilbert spaces
Functional Analysis
2024-03-07 v2
Abstract
We study the concept of frame in tensor product of n-Hilbert spaces as tensor product of n-Hilbert spaces is again a n-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space. A relationship between frame and bounded linear operator in tensor product of n-Hilbert spaces is studied. Finally, the dual frame in tensor product of n-Hilbert spaces is discussed.
Cite
@article{arxiv.2101.01938,
title = {Introduction of frame in tensor product of n-Hilbert spaces},
author = {Prasenjit Ghosh and Tapas Kumar Samanta},
journal= {arXiv preprint arXiv:2101.01938},
year = {2024}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:2101.01657