• Title of article

    On Some Linear Operators Preserving Disjoint Support Property

  • Author/Authors

    Eftekhari ، Noha Department of pure Mathematics - Faculty of Mathematical Sciences - University of Shahrekord , Bayati Eshkaftaki ، Ali Department of pure Mathematics - Faculty of Mathematical Sciences - University of Shahrekord

  • From page
    41
  • To page
    49
  • Abstract
    Abstract. The aim of this work is to characterize all bounded linear operators T : ℓp(I) → ℓp(I) which preserve disjoint support property. We show that the constant coefficients of all isometries on ℓp(I) are in the class of such operators, where 2 ̸= p ∈ [1, ∞) and I is a non-empty set. We extend preserving disjoint support property to linear operators on c0(I). At the end, we obtain some equivalent properties of isometries on Banach spaces.
  • Keywords
    Disjoint support , Codomain , Linear preserver , Isometry
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Record number

    2675904

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2675904