Controlled pg-frames in Hilbert spaces

Subject Areas : Abstract harmonic analysis

T. L. Shateri ¹

1 - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran

Received: 2023-02-06 Accepted : 2023-03-30 Published : 2023-03-01

Keywords: Hilbert space, Controlled frame, pg-frame,

Abstract :

In this paper, for extending the concepts of $p$-frame and controlled frame for Hilbert spaces, we will introduce the concept of controlled $pg$-frames in Hilbert spaces. Then, we present characterizations of controlled $pg$-frames and some results of frames in the view of controlled $pg$-frames.

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