Results of semigroup of linear operators on Favard class and interpolation space

Abstract

This paper presents the results of ω-order preserving partial contraction mapping (ω-OCPn) initiating a Favard class and interpolation. The study investigated some detailed properties of the Favard class concerning interpolation and perturbation theory on a Banach space. Then it was shown that the semigroup is bounded, closed, ⊙-reflexive, and the limes superior of the Favard class can be replaced by a limes inferior on C₀-semigroup.