Title of article :
Introduction of Frame in Tensor Product of n-Hilbert Spaces
Author/Authors :
Ghosh, Prasenjit Department of Pure Mathematics - University of Calcutta, West Bengal, India , Kumar Samanta, Tapas Department of Mathematics - Uluberia College, Uluberia, Howrah, 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 :
Frame Dual frame Tensor , product of Hilbert spaces , n-normed space , n-Hilbert space
Journal title :
Sahand Communications in Mathematical Analysis
