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http://hdl.handle.net/10077/4288| 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 | 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. | 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 |
| 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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| 08-garridojaramillo.pdf | 91.86 kB | Adobe PDF | View/Open |
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