University of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801On Some Linear Operators Preserving Disjoint Support Property414924493910.22130/scma.2021.115697.690ENNohaEftekhariDepartment of pure Mathematics, Faculty of Mathematical Sciences,
University of Shahrekord, P.O.Box 115, Shahrekord, 88186-34141, Iran.0000-0002-8159-1652AliBayati EshkaftakiDepartment of pure Mathematics, Faculty of Mathematical Sciences,
University of Shahrekord, P.O.Box 115, Shahrekord, 88186-34141, Iran.Journal Article20191013The 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.https://scma.maragheh.ac.ir/article_244939_8c1b7702456136d5bdd669a1216f6552.pdf