2-frames
in 2-Hilbert spaces are studied and some results on it are presented. The
tensor product of 2-frames in 2-Hilbert spaces is introduced. It is shown that
the tensor product of two 2-frames is a 2-frame for the tensor product of
Hilbert spaces. Some results on tensor product of 2-frames are established.
References
[1]
Han, D. and Larson, D.R. (2000) Frames, Bases and Group Representations. Memoirs of the AMS.
[2]
Casazza, P.G. (2000) The Art of Frame Theory. Taiwanese Journal of Mathematics, 4, 129-201.
Arefijammaal, A.A. and Sadeghi, G. (2013) Frames in 2-Inner Product Spaces. International Journal of Mathematical Sciences and Informatics, 8, 123-130.
[5]
Cho, Y.J., Dragomir, S.S., White, A. and Kim, S.S. (1999) Some Inequalities in 2-Inner Product Spaces. Demonstratio Mathematica, 32, 485-493.
[6]
Mazaherl, H. and Kazemi, R. (2007) Some Results on 2-Inner Product Spaces. Novi Sad Journal of Mathematics, 37, 35-40.
[7]
Reddy, G.U., Reddy, N.G. and Reddy, B.K. (2009) Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces. Journal of Dynamical Systems & Geometric Theories, 7, 61-70.
