Inverses and regularity of disjointness preserving operators

DOI10.4064/DM433-0-1zbMath1087.47043OpenAlexW2050695355MaRDI QIDQ5716047

Yuri A. Abramovich, Arkady K. Kitover

Publication date: 6 January 2006

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm433-0-1

zbMATH Keywords

vector latticesdisjointness preserving operators\(d\)-rigidityHuijmans-de Pagter-Koldunov theoremsuper \(d\)-rigidityweak \(c_0\)-completeness

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Ordered normed spaces (46B40)

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Frolík decompositions for lattice-ordered groups ⋮ Inverses of disjointness preserving operators in finite dimensional pre-Riesz spaces

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