Submitted:
24 June 2022
Posted:
27 June 2022
You are already at the latest version
Abstract
In this article, rst we are going to review the concept of ordinary frames , in more general case in measure spaces, namely, gc-frames. We try to develop the use of measure space in describing frames. Then by means of the gc-frames, we shall introduce gn-operators, which we shall show that each trace class operator has a vector-valued integral representation and vice-versa.
Keywords:
Hilbert space
; Lebesgue integral
; trace class operator
; frame
; measure space
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
