$*$-Fusion ‎F‎rames in Hilbert Modules Over Locally $C^*$-Algebras

Subject Areas : International Journal of Industrial Mathematics

طیبه لعل شاطری ¹

1 - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.

Received: 2018-06-25 Accepted : 2021-02-10 Published : 2021-04-01

Keywords: C*-algebraک Locally C*-algebra, Hilbert C*-module, frame, *-fusion frame,

Abstract :

The main purpose of this paper is to introduce the notion of *-fusion frames in Hilbert modules over locally C*-algebras to study some properties about these frames. We present some results of frames in the view of *-fusion frames in Hilbert modules over locally C*- algebras. inparticular we give the reconstruction formula for these frames.

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