Christopher Schwanke

most citedTotal orderization invariant maps on distributive lattices

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2024

An Archimedean Vector Lattice Functional Calculus For Semicontinuous Positively Homogeneous Functions

Christopher Schwanke

We develop a functional calculus on Archimedean vector lattices for semicontinuous positively homogeneous real-valued functions defined on $R^{n}$ which are bounded on the unit sphe…

math.FA2024

Simpler characterizations of total orderization invariant maps

Christopher Michael Schwanke

Given a finite subset $A$ of a distributive lattice, its total orderization $t o (A)$ is a natural transformation of $A$ into a totally ordered set. Recently, the author showed that…

math.FA2022★ 1 cited

Total orderization invariant maps on distributive lattices

Christopher Michael Schwanke

Given any finite subset $A$ of order $n$ of a distributive lattice and $k \in {1, ..., n}$ , there is a natural extension of the median operation to $n$ variables which generalizes th…