Prasenjit Ghosh - استاد
Tapas Kumar Samanta - استاد

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.

Frame, Dual frame, Tensor product of Hilbert spaces, $n$-normed space, $n$-Hilbert space