Multiplicative bijections of semigroups of interval-valued continuous functions

DOI10.1090/S0002-9939-08-09448-3zbMath1173.46031arXiv0710.4347OpenAlexW1991235509MaRDI QIDQ3600596

Jesús Araujo

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4347

zbMATH Keywords

automorphismscompact Hausdorff spacehomeomorphismssemigroups of continuous functions

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Lattices of continuous, differentiable or analytic functions (46E05)

Related Items (5)

Isomorphisms between certain sublattices of continuous functions ⋮ Semirings of continuous functions ⋮ Nonlinear disjointness/supplement preservers of nonnegative continuous functions ⋮ Order isomorphisms on effect algebras of the \(\mathrm{C}^\ast\)-algebras of type \(\mathscr{C}(\mathscr{X})\otimes\mathscr{B}(\mathscr{H})\) ⋮ On the continuity of lattice isomorphisms on \(C(X,I)\)

Cites Work

• Multiplicative derivations on \(C(X)\)
• Multiplicative semigroups of continuous functions
• Multiplicative bijections of $\mathcal {C(X},I\mathcal {)}$
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