• 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