A Stone-Weierstrass-type theorem for truncated vector lattices of functions

DOI10.1007/s10958-023-06746-xOpenAlexW4389097732MaRDI QIDQ6197149

Sameh Bououn, Karim Boulabiar

Publication date: 16 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06746-x

zbMATH Keywords

Banach latticelocally compactHausdorffStone-Weierstrasslattice homomorphismtruncation homomorphismvanishing at infinitytruncated vector sublattice

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Cites Work

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• Spaces of continuous functions
• Banach lattices
• Representation of strongly truncated Riesz spaces
• Evaluating characterizations of truncation homomorphisms on truncated vector lattices of functions
• Extreme positive operators on topologically truncated Banach lattices
• Subalgebras and Riesz Subspaces of an f -Algebra