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
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
