The Banach-Stone theorem revisited
| dc.contributor.author | Ercan, Zafer | |
| dc.contributor.author | Önal, S. | |
| dc.date.accessioned | 2021-06-23T19:25:46Z | |
| dc.date.available | 2021-06-23T19:25:46Z | |
| dc.date.issued | 2008 | |
| dc.department | BAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | Let X and Y be compact Hausclorff spaces, and E and F be locally solid Riesz spaces. If pi : C(X. E) -> C(Y, F) is a 1-biseparating Riesz isomorphism then X and Y are homeomorphic, and E and F are Riesz isomorphic. This generalizes the main results of [Z. Ercan, S. Onal, Banach-Stone theorem for Banach lattice valued continuous functions, Proc. Amer. Math. Soc. 135 (9) (2007) 2827-2829] and [X. Miao, C. Xinhe, H. Jiling, Banach-Stone theorems and Riesz algebras, J. Math. Anal. Appl. 313 (1) (2006) 177-183], and answers a conjecture in [Z. Ercan, S. Onal, Banach-Stone theorem for Banach lattice valued continuous functions. Proc. Amer. Math. Soc. 135 (9) (2007) 2827-2829]. (C) 2008 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.topol.2008.05.018 | |
| dc.identifier.endpage | 1803 | en_US |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.issn | 1879-3207 | |
| dc.identifier.issue | 16 | en_US |
| dc.identifier.scopus | 2-s2.0-49549104185 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 1800 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.topol.2008.05.018 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12491/6220 | |
| dc.identifier.volume | 155 | en_US |
| dc.identifier.wos | WOS:000259380100007 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Ercan, Zafer | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier B.V. All | en_US |
| dc.relation.ispartof | Topology And Its Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Banach-Stone theorem | en_US |
| dc.subject | Separating | en_US |
| dc.subject | Biseparating | en_US |
| dc.subject | Locally Solid Riesz Space | en_US |
| dc.title | The Banach-Stone theorem revisited | en_US |
| dc.type | Article | en_US |
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