Ideals, bands and direct sum decompositions in mixed lattice vector spaces

DOI10.1007/s11117-023-00985-7OpenAlexW4362577282MaRDI QIDQ2696170

Jani Jokela

Publication date: 6 April 2023

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.12651

zbMATH Keywords

idealbandRiesz spacedirect sumdisjointnessmixed latticemixed lattice semigroup

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Bands in partially ordered vector spaces with order unit
• Order and convexity in potential theory: H-cones. In collab. with Herbert Höllein
• Ideals and bands in pre-Riesz spaces
• Generalized absolute values, ideals and homomorphisms in mixed lattice groups
• Algebraic potential theory
• Classical potential theory and its probabilistic counterpart.
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