Article
Version 1
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GN-Operators
Version 1
: Received: 24 June 2022 / Approved: 27 June 2022 / Online: 27 June 2022 (11:07:31 CEST)
How to cite: Ahmadi, R.; Rahimlou, G. GN-Operators. Preprints 2022, 2022060365. https://doi.org/10.20944/preprints202206.0365.v1 Ahmadi, R.; Rahimlou, G. GN-Operators. Preprints 2022, 2022060365. https://doi.org/10.20944/preprints202206.0365.v1
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
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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