Near continuous g-frames for Hilbert C∗-modules

Author(s):

Mahmoud Hassani , YASER KHATIB*MARYAM Amyari

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

 Let U be a Hilbert A-module and L(U) the set of all adjointable A-linear maps on U. Let K = {Λx ∈ L(U, Vx) : x ∈ X } and L = {Γx ∈ L(U, Vx) : x ∈ X } be two continuous g-frames for U, K is said to be similar with L if there exists an invertible operator J ∈ L(U) such that Γx = ΛxJ, for all x ∈ X . In this paper, we define the concepts of closeness and nearness between two continuous g-frames. In particular, we show that K and L are near, if and only if they are similar.

Keywords:

Hilbert C∗-modules , closeness bound , nearcontinuous g-frames , nearness

Language:
English
Published:
Journal of Mathematical Extension, Volume:13 Issue: 4, Autumn 2019
Pages:
131 to 142
https://magiran.com/p2263256