GN-OPERATORS

Authors

  • Reza Ahmadi Faculty of Mathematical scienceUniversity of Tabriz, Iran.
  • Gholamreza Rahimlou Department of Mathematics, Technical and Vocational University (TVU),Tehran, Iran.

Keywords:

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

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.

Author Biographies

Reza Ahmadi, Faculty of Mathematical scienceUniversity of Tabriz, Iran.

Faculty of Mathematical scienceUniversity of Tabriz, Iran.

Gholamreza Rahimlou, Department of Mathematics, Technical and Vocational University (TVU),Tehran, Iran.

Department of Mathematics, Technical and Vocational University (TVU),Tehran, Iran.

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Published

2024-01-01

Issue

Vol. 17

Section

Vol. 17, No. 10, (2023)

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