Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774499 | Journal of Mathematical Analysis and Applications | 2017 | 12 Pages |
Abstract
We show that an Urysohn lattice pre-homomorphism defined on a normal sublattice D of a vector lattice E can be extended to the whole space E and the extended operator is an Urysohn lattice homomorphism. We introduce a new class of nonlinear operators which called Ï-operators and describe some of their properties. Finally we investigate a structure of positive orthogonally additive operators dominated by an Urysohn lattice homomorphism defined on a vector lattice E and taking value in Dedekind complete vector lattice F.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nariman Abasov, Marat Pliev,