%0 Journal Article
%T On Some Linear Operators Preserving Disjoint Support Property
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Eftekhari, Noha
%A Bayati Eshkaftaki, Ali
%D 2021
%\ 08/01/2021
%V 18
%N 3
%P 41-49
%! On Some Linear Operators Preserving Disjoint Support Property
%K Disjoint support
%K Codomain
%K Linear preserver
%K Isometry
%R 10.22130/scma.2021.115697.690
%X The aim of this work is to characterize all bounded linear operators $T:\lpi\rightarrow\lpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $\lpi$ are in the class of such operators, where $2\neq p\in [1,\infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $\mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.
%U https://scma.maragheh.ac.ir/article_244939_8c1b7702456136d5bdd669a1216f6552.pdf