The problem of central orthomorphisms in a class of \(F\)-lattices
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Publication:2017796
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
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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