On Continuous Frames in Hilbert $C^*$-Modules

Author(s):

Hadi Ghasemi , Tayebe Lal Shateri *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In the present paper, we study continuous frames in Hilbert $C^*$-modules and present some results of these frames. Next, we give the concept of dual continuous frames in Hilbert $C^*$-modules and investigate some properties of them. Also, by introducing the notion of the similarity of the continuous frames, characterizing it, and stating some of its properties, we refer to the investigation of the effect of similarity on the dual continuous frames in Hilbert $C^*$-modules.
Keywords:

Hilbert C^*-module , Continuous frame , Riesz-type frame , Dual continuous frame , Similar continuous frame

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:21 Issue: 2, Spring 2024
Pages:
327 to 349
https://www.magiran.com/p2700209  
سامانه نویسندگان
  • Lal Shateri، Tayebe
    Corresponding Author (2)
    Lal Shateri, Tayebe
    Associate Professor Mathematics, Mathematics, Mathematics and Computer Sceinces, Hakim Sabzevari University, سبزوار, Iran
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