Document Type : Research Paper

Authors

1 Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019, West Bengal, India.

2 Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India.

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

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