Title

Associating linear and nonlinear operators

Document Type

Article

Publication Date

1-1-2017

Abstract

© 2017 Amerian Mathematial Soiety. Any Dedekind complete Banach lattice E with a quasi-interior point e is lattice isomorphic to a space of continuous, extended real-valued functions defined on a compact Hausdorff space X. An orthogonally additive, continuous, monotonic, and subhomogeneous nonlinear operator T: E → R is examined. In this case, the concept of integration is no longer valid, but a measure μ related to the nonlinear operator T is constructed. The linear operator associated with μ and other linear operators with similar properties are studied.

Publication Title

Contemporary Mathematics

This document is currently not available here.

Share

COinS