Operator-Valued Frames in Tensor Product of Hilbert spaces

Operator-valued frames are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more. It is shown that tensor product of operator-valued frames for Hilbert spaces H and F present operator-valued frame for H,F , and we show that tensor product of their analysis operators is an analysis operator

Keywords:

Frame , operator-valued frame , analysis operator , tensor product , fusion frame