Title of article :
Near continuous g-frames for Hilbert C∗-modules
Author/Authors :
Khatib, Y Mashhad Branch - Islamic Azad University , Hassani, M Mashhad Branch - Islamic Azad University , Amyari, M Mashhad Branch - Islamic Azad University
Pages :
12
From page :
131
To page :
142
Abstract :
Let U be a Hilbert A-module and L(U) the set of all adjointable A-linear mapson U. Let K = {Λx ∈ L(U, Vx) : x ∈ X } and L = {Γx ∈ L(U, Vx) : x ∈ X } be tw ocontinuous g-frames for U, K is said to be similar with L if there exists an in vertible operator J ∈ L(U) suchthatΓx = ΛxJ , for all x ∈ X . In this paper,we define the concepts of closeness and nearness between two continuous g-frames. Inparticular, we show that K and L are near,if and only if they aresimilar.
Keywords :
Hilbert C∗-modules , closeness bound , near continuous g-frames , nearness
Serial Year :
2019
Record number :
2493879
Link To Document :
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