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Function lattices and compactifications

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Function lattices and compactifications

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dc.contributor.author Alaste, Tomi Matias es_ES
dc.date.accessioned 2014-10-28T07:32:23Z
dc.date.available 2014-10-28T07:32:23Z
dc.date.issued 2014-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/43627
dc.description.abstract [EN] Let F be a lattice of real-valued functions on a non-empty set X such that F contains the constant functions. Using certain filters on X determined by F, we construct a compact Hausdorff topological space δX with the property that every bounded member of F extends to δX and these extensions form a dense subspace of C(δX). If A is any C*-subalgebra of ℓ∞(X) containing the constant functions, then our construction gives a representation of the spectrum of A as a space of filters on X. es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Function lattice es_ES
dc.subject F-filter es_ES
dc.subject F-ultrafilter es_ES
dc.subject Spectrum es_ES
dc.title Function lattices and compactifications es_ES
dc.type Artículo es_ES
dc.date.updated 2014-10-27T16:25:04Z
dc.identifier.doi 10.4995/agt.2014.2050
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Alaste, TM. (2014). Function lattices and compactifications. Applied General Topology. 15(2):183-202. doi:http://dx.doi.org/10.4995/agt.2014.2050. es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2014.2050 es_ES
dc.description.upvformatpinicio 183 es_ES
dc.description.upvformatpfin 202 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references Alaste, T. (2012). U-filters and uniform compactification. Studia Mathematica, 211(3), 215-229. doi:10.4064/sm211-3-3 es_ES
dc.description.references Budak, T., & Pym, J. (2006). Local Topological Structure in the LUC-Compactification of a Locally Compact Group and its Relationship with Veech’s Theorem. Semigroup Forum, 73(2), 159-174. doi:10.1007/s00233-006-0623-4 es_ES
dc.description.references Berglund, J. F., & Hindman, N. (1984). Filters and the weak almost periodic compactification of a discrete semigroup. Transactions of the American Mathematical Society, 284(1), 1-1. doi:10.1090/s0002-9947-1984-0742410-4 es_ES
dc.description.references Comfort, W. W., & Negrepontis, S. (1974). The Theory of Ultrafilters. doi:10.1007/978-3-642-65780-1 es_ES
dc.description.references G.B. Folland, A course in abstract harmonic analysis, (CRC Press, Boca Raton, FL, 1995). es_ES
dc.description.references L. Gillman and M. Jerison, Rings of continuous functions, (Springer-Verlag, New York, 1976). es_ES
dc.description.references Hindman, N., & Strauss, D. (1998). Algebra in the Stone-Čech Compactification. doi:10.1515/9783110809220 es_ES
dc.description.references Isbell, J. (1964). Uniform Spaces. Mathematical Surveys and Monographs. doi:10.1090/surv/012 es_ES
dc.description.references G. J. O. Jameson, Topology and normed spaces, (Chapman and Hall, London, 1974). es_ES
dc.description.references Koçak, M., & Strauss, D. (1997). Near Ultrafilters and Compactifications. Semigroup Forum, 55(1), 94-109. doi:10.1007/pl00005915 es_ES
dc.description.references S. A. Naimpally and B. D. Warrack, Proximity spaces (Cambridge University Press, London, 1970). es_ES
dc.description.references Tootkaboni, M. A., & Riazi, A. (2004). Ultrafilters on Semitopological Semigroups. Semigroup Forum, 70(3), 317-328. doi:10.1007/s00233-003-0015-y es_ES
dc.description.references Walker, R. C. (Ed.). (1974). The Stone-Čech Compactification. doi:10.1007/978-3-642-61935-9 es_ES
dc.description.references S. Willard, General topology, (Addison-Wesley, Reading, 1970). es_ES


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