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
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