Memorandum on multiplicative bijections and order

DOI10.1007/s00233-009-9152-2zbMath1195.47026OpenAlexW2151408130MaRDI QIDQ731317

Félix Cabello Sánchez, Javier Cabello Sánchez, Zafer Ercan, Süleyman Önal

Publication date: 2 October 2009

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-009-9152-2

zbMATH Keywords

lattices of contiuous functionssemigroup isomorphismssemigroups of continuous functions

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Lattices of continuous, differentiable or analytic functions (46E05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (10)

Isomorphisms between certain sublattices of continuous functions ⋮ Semirings of continuous functions ⋮ A sharp representation of multiplicative isomorphisms of uniformly continuous functions ⋮ Order isomorphisms on effect algebras of the \(\mathrm{C}^\ast\)-algebras of type \(\mathscr{C}(\mathscr{X})\otimes\mathscr{B}(\mathscr{H})\) ⋮ Lattices of subalgebras of semirings of continuous nonnegative functions with the max-plus ⋮ Homomorphisms on lattices of continuous functions ⋮ Lattice preserving maps on lattices of continuous functions ⋮ Some preserver problems on algebras of smooth functions ⋮ On the continuity of lattice isomorphisms on \(C(X,I)\) ⋮ The uniform separation property and Banach–Stone theorems for lattice-valued Lipschitz functions

Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Homomorphisms on lattices of continuous functions
• An answer to a conjecture on multiplicative maps on \(C(X,I)\)
• A Banach-Stone theorem for uniformly continuous functions
• Homomorphisms on function lattices
• Multiplicative semigroups of continuous functions
• Multiplicative bijections of $\mathcal {C(X},I\mathcal {)}$
• A Characterization of Real C(K)-Spaces
• Lattices of continuous functions
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