Introduction of frame in tensor product of n-Hilbert spaces

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.Comment: 18 pages. arXiv admin note: text overlap with arXiv:2101.0165