@article {
author = {Ghosh, Prasenjit and Samanta, Tapas},
title = {Introduction of Frame in Tensor Product of $n$-Hilbert Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {4},
pages = {1-18},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.524252.909},
abstract = {We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-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.},
keywords = {Frame,Dual frame,Tensor product of Hilbert spaces,$n$-normed space,$n$-Hilbert space},
url = {https://scma.maragheh.ac.ir/article_247537.html},
eprint = {https://scma.maragheh.ac.ir/article_247537_bdabe40608d29f6f8772b3bb95b0c141.pdf}
}