The problem of central orthomorphisms in a class of \(F\)-lattices

DOI10.1016/j.indag.2014.12.003zbMath1336.46006OpenAlexW1992939321MaRDI QIDQ2017796

Halina Wiśniewska, Marek Wójtowicz

Publication date: 23 March 2015

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.12.003

zbMATH Keywords

orthomorphismMusielak-Orlicz sequence space\(F\)-latticelocally bounded \(F\)-space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

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

Cites Work

• On the dual positive Schur property in Banach lattices
• On the centre of a vector lattice
• When orthomorphisms are in the ideal center
• On \(\ell^ p\)-copies in Musielak-Orlicz sequence spaces
• The strong Schur property in Banach lattices
• Banach lattices
• Examples of orthomorphisms
• On Riemann integration of functions with values in topological linear spaces
• On the order-topological properties of the quotient space $L/L_{A}$
• Orlicz sequence spaces without local convexity
• The Schur and (weak) Dunford-Pettis properties in Banach lattices
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