The interplay between algebras and lattices: Stone-Weierstrass for illustration

DOI10.1007/s11117-023-01019-yOpenAlexW4388523547MaRDI QIDQ6180238

Sameh Bououn

Publication date: 19 January 2024

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-023-01019-y

zbMATH Keywords

Banach algebraBanach latticeStone-Weierstrass theoremalgebra homomorphismtruncation homomorphismtruncated Banach latticeHausdorff lattice homomorphism

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Cites Work

• Spaces of continuous functions
• \(A\)-realcompact spaces
• Unital embedding and complexifications of F-algebras
• Banach lattices
• Some aspects of Riesz multimorphisms
• A generalization of a theorem on biseparating maps.
• Representation of strongly truncated Riesz spaces
• Evaluating characterizations of truncation homomorphisms on truncated vector lattices of functions
• Banach lattice algebras: some questions, but very few answers
• Subalgebras and Riesz Subspaces of an f -Algebra
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