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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2 >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4288
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| Title: | Representation of Homomorphisms on Function Lattices |
| Authors: | Garrido, M. Isabel
Jaramillo, Jesùs A. |
| Issue Date: | 2001 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | 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. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2 |
| 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. |
| URI: | http://hdl.handle.net/10077/4288 |
| ISSN: | 0049-4704 |
| MS Classification: | 54C30
54C40
54C35 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2
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