On the continuity of lattice isomorphisms on \(C(X,I)\)

DOI10.1515/ms-2021-0066zbMath1491.46018OpenAlexW4200369730MaRDI QIDQ2063364

Fereshteh Sady, Vahid Ehsani

Publication date: 11 January 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0066

zbMATH Keywords

lattice isomorphismscontinuous functionsStone-Čech compactificationorder preserving bijections

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on function spaces (general) (47B38) Special properties of topological spaces (54F99) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological structures (06F30)

Cites Work

• Unnamed Item
• Lattice preserving maps on lattices of continuous functions
• Memorandum on multiplicative bijections and order
• Homomorphisms on lattices of continuous functions
• An answer to a conjecture on multiplicative maps on \(C(X,I)\)
• On the continuity of lattice automorphisms on continuous function lattices
• Order preserving bijections of \(\mathcal C(\mathcal X,\mathcal I)\)
• Multiplicative bijections of semigroups of interval-valued continuous functions
• Lattices of continuous functions
• Lattices of Continuous Functions II

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