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Almost convergent vector-valued functions. (Spanish: Funciones vectoriales casi-convergentes).

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dc.contributor.authorBombal Gordón, Fernando
dc.contributor.authorVera Boti, Gabriel
dc.date.accessioned2023-06-21T02:03:37Z
dc.date.available2023-06-21T02:03:37Z
dc.date.issued1975
dc.description.abstractIn this paper the authors extend the concept of almost convergence to vector-valued functions on a semigroup having a left invariant mean. They study the space of almost convergent functions and obtain characterization theorems similar to known theorems about real functions. They also establish the existence of a unique invariant mean on vector-valued weakly almost periodic functions.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17854
dc.identifier.issn0010-0757
dc.identifier.officialurlhttp://www.collectanea.ub.edu/index.php/Collectanea/article/view/3441/4120
dc.identifier.relatedurlhttp://www.collectanea.ub.edu/index.php/Collectanea/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64740
dc.issue.number2
dc.journal.titleCollectanea mathematica
dc.language.isospa
dc.page.final153
dc.page.initial141
dc.publisherSpringer
dc.rights.accessRightsopen access
dc.subject.cdu517.98
dc.subject.keywordMeans on groups
dc.subject.keywordsemigroups
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleAlmost convergent vector-valued functions. (Spanish: Funciones vectoriales casi-convergentes).
dc.typejournal article
dc.volume.number26
dcterms.referencesBOMBAL,F. y VERA, G. - Medias invariantes en espacios localmente convexos y semi-reflexividad. Coll. Math., XXIV (1973), 3-3l. CHING CHOU y PETER DURAN, J. - Multipliers for the space of almostconvergent functions on a semigroup. Proc. Am. Math. SOC. 39 (1973)125-128. DAY,J.B. - Semigoups an Amenability.Proceeclings of a Symposium on Semigroups held at Wayne State University, Editado por K. W.Folley. Academic Press, New York, 1969. DEEDS, J. B -Summability of vector sequnces.Studia Math. 30 (1968),361-372. GRANIRER, B. E. - Functiollal analytic properties of extremely amenable semigroups. Trans. Amer,Math. Soc. 137 (1969), 53-75. GREENTLEAF, F. P. - Invariant means on topological groups. Van NKostrand Reinhold Co. New York, 1969. KURTZ, J. C.- Almost convergentsequences. Tohoku Math. J. 22 (1970), 493-498. LORENTZ, G. G, - A contribution to the theory of divel'gent sequences. Acta Math, 80 (1948), 167-190. MAH, P. F. - .Summability in amenable semigroups. Trans. Amer. Soc. 156 (1971), 391-403, MELVIN-MELVIN, H. - Generalised k-transfonnation in Banach spaces. Proc. London Math. Soco 53 (1951), 83-108. RAMANUJAN, M. S. - Generalised Kojima-Toeplitz matrices in certain linear topological spaces. Math. A1111. 159 (1965), 365-373. ROBINSON, A. - On functional transforlnations and sumability. Proc. London lVIath. Soc, 50 (1950), 132-160. SCHAEFER, H. H. - Topological vector spaces. Macl11illan CO. New York, 1966. VERA, G. - Limites generalizados en A-módulos. Tesis. En prensa.
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