GN-OPERATORS

Reza Ahmadi, Gholamreza Rahimlou

Abstract


In this article, rst we are going to review the concept ofordinary frames , in more general case in measure spaces, namely, gc-frames.We try to develop the use of measure space in describing frames. Then bymeans of the gc-frames, we shall introduce gn-operators, which we shall showthat each trace class operator has a vector-valued integral representation andvice-versa.

Keywords


Hilbert space, Lebesgue integral, trace class operator, frame, measure space.

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