University of MaraghehSahand Communications in Mathematical Analysis2322-580718420211201Introduction of Frame in Tensor Product of $n$-Hilbert Spaces11824753710.22130/scma.2021.524252.909ENPrasenjitGhoshDepartment of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019, West Bengal, India.0000-0001-6450-5436Tapas KumarSamantaDepartment of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India.0000-0001-8728-0356Journal Article20210202We 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.https://scma.maragheh.ac.ir/article_247537_bdabe40608d29f6f8772b3bb95b0c141.pdf