On Some Linear Operators Preserving Disjoint Support Property

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 ۲\neq p\in [۱,\infty ) and I is a non-empty set. We extend preserving disjoint support property to linear operators on \mathfrak{c}_{۰}(I). At the end, we obtain some equivalent properties of isometries on Banach spaces.

کلیدواژه ها:

Disjoint support ، Codomain ، Linear preserver ، Isometry