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Representation of Homomorphisms on Function Lattices
Garrido, M. Isabel
Jaramillo, Jesùs A.
2001
Abstract
Let $\mathcal{L}$ be a unital vector lattice of continuous functions
on a topological space X. We study when every real lattice homomorphism
on $\mathcal{L}$ is given by evaluation at some point of X. Some
applications are given in order to obtain Banach-Stone type theorems
in this context.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
M. Isabel Garrido and Jesùs A. Jaramillo, "Representation of Homomorphisms on Function Lattices", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.2, pp. 73–79.
Languages
en
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