When orthomorphisms are in the ideal center

DOI10.1007/S11117-013-0263-3zbMath1312.46030OpenAlexW2043546946MaRDI QIDQ740830

Moahamed Ali Toumi

Publication date: 9 September 2014

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-013-0263-3

zbMATH Keywords

orthomorphismcenter of a vector latticehyper-Archimedean vector lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (7)

A relationship between the space of orthomorphisms and the centre of a vector lattice revisited ⋮ A class of a non-Banach \(F\)-lattices \(E\) such that every orthomorphism on \(E\) is central with applications to Musielak-Orlicz sequence spaces ⋮ Orthomorphisms on non-Banach \(F\)-lattices containing a copy of \(\mathbb{R}^{\mathbb{N}}\) with applications to Musielak-Orlicz spaces ⋮ Derivations on universally complete \(f\)-algebras ⋮ A relationship between the space of orthomorphisms and the centre of a vector lattice ⋮ The problem of central orthomorphisms in a class of \(F\)-lattices ⋮ Характеризация конечномерных архимедовых векторных решеток

Cites Work

• Multiplication operators
• Banach algebras on semigroups and on their compactifications
• Ideal Theory in f-Algebras
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