Homomorphisms on lattices of continuous functions

DOI10.1007/s11117-007-2114-6zbMath1254.46030OpenAlexW2085439292MaRDI QIDQ931391

Félix Cabello Sánchez

Publication date: 25 June 2008

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2114-6

zbMATH Keywords

lattices of continuous functionsrepresentation of homomorphisms

Mathematics Subject Classification ID

Lattices of continuous, differentiable or analytic functions (46E05)

Related Items (15)

A characterization of non-linear maps satisfying orthogonality properties ⋮ Disjointness Preservers and Banach-Stone Theorems ⋮ Isomorphisms between certain sublattices of continuous functions ⋮ Nonlinear order isomorphisms on function spaces ⋮ Persistence of Banach lattices under nonlinear order isomorphisms ⋮ Order isomorphisms between bases of topologies ⋮ Order isomorphisms of operator intervals in von Neumann algebras ⋮ Nonlinear disjointness/supplement preservers of nonnegative continuous functions ⋮ Banach-Stone theorems for disjointness preserving relations ⋮ Order isomorphisms on effect algebras of the \(\mathrm{C}^\ast\)-algebras of type \(\mathscr{C}(\mathscr{X})\otimes\mathscr{B}(\mathscr{H})\) ⋮ Lattice preserving maps on lattices of continuous functions ⋮ Some preserver problems on algebras of smooth functions ⋮ Order isomophisms between Riesz spaces ⋮ Memorandum on multiplicative bijections and order ⋮ On the continuity of lattice isomorphisms on \(C(X,I)\)

Cites Work

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• Multiplicative bijections of $\mathcal {C(X},I\mathcal {)}$
• Lattice Homomorphisms of Spaces of Continuous Functions
• Homomorphisms of Lattices of Continuous Functions
• NEARLY VARIANTS OF PROPERTIES AND ULTRAPOWERS
• Affine bijections of C(X,I)
• When a lattice homomorphism is a Riesz homomorphism
• Lattices of continuous functions
• Lattices of Continuous Functions II

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