Work

The Riesz-Kantorovich formulas for $$\mathbb {L}$$-vector lattices

Year: 2026

Type: article

Abstract: Let $$\mathbb {L}$$ L be a Dedekind complete unital f -algebra. We prove the Riesz-Kantorovich formulas for order bounded $$\mathbb {L}$$ L -module homomorphisms from a directed partially ordered $$\mathbb {L}$$ L -module with the Riesz Decomposition Property into a Dedekind complete $$\mathbb {L}$$ L -vector lattice satisfying an additional mild condition.

Source: Positivity

DOI: 10.1007/s11117-026-01184-w

Authors: Tomas Chamberlain, Marten Wortel

Institution: University of Pretoria

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: University of Pretoria