Copies of \(\mathbb R^{\mathbb N}\) in F-lattices

DOI10.14708/cm.v56i2.1558zbMath1416.46007OpenAlexW2592495156MaRDI QIDQ4968336

Witold Wnuk

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.14708/cm.v56i2.1558

zbMATH Keywords

sequence spacesF-latticemetrizable locally solid Riesz space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

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

• Banach lattices
• The Sobczyk property and copies of \(\ell_{\infty}\) in locally convex-solid Riesz spaces
• Copies of 𝑐₀ and ℓ_{∞} in topological Riesz spaces
• Copies of the sequence space \(\omega\) in \(F\)-lattices with applications to Musielak−Orlicz spaces
• Completions of normed linear lattices
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