Representation of homomorphisms on function lattices
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Publication date
2001
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Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
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Abstract
Let L be a unital vector lattice of continuous functions on a topological space X . We study when every real lattice homomorphism on 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.
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Proceedings of the "II Italian-Spanish Congress on General Topology and its Applications'' (Italian) (Trieste, 1999).