3 papers
math.FA2025
Square closed pointed vector lattices
Christopher Schwanke
Given an Archimedean vector lattice , we present one elementary property of which is equivalent to the entire traditional list of axioms which makes a -algebra. We ca…
math.FA2024
Simpler characterizations of total orderization invariant maps
Christopher Michael Schwanke
Given a finite subset of a distributive lattice, its total orderization is a natural transformation of into a totally ordered set. Recently, the author showed that…
math.FA2020
Some notes on orthogonally additive polynomials
Christopher Michael Schwanke
We provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into a convex bornological space using separately two pol…