Representation of homomorphisms on function lattices



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Garrido, M. Isabel and Jaramillo Aguado, Jesús Ángel (2001) Representation of homomorphisms on function lattices. Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics, 32 (suplem). pp. 73-79. ISSN 0049-4704

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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).

Subjects:Sciences > Mathematics > Topology
ID Code:21610
Deposited On:30 May 2013 14:47
Last Modified:12 Dec 2018 15:13

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