Disjointness and order projections in vector lattices of abstract Uryson operators
Marat A. Pliev, Martin R. Weber
TL;DR
This paper investigates projections onto specific subsets within the Dedekind complete vector lattice of orthogonally additive, order bounded operators (abstract Uryson operators) between vector lattices, providing new formulas.
Contribution
It introduces new formulas for projections onto special subsets in the vector lattice of abstract Uryson operators, advancing the understanding of their structure.
Findings
Derived new formulas for projections in the vector lattice of Uryson operators
Analyzed properties of projections onto special subsets
Enhanced the theoretical framework of abstract Uryson operators
Abstract
Projections onto several special subsets in the Dedekind complete vector lattice of orthogonally additive, order bounded (called abstract Uryson) operators between two vector lattices and are considered and some new formulas are provided.
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