@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} }