RT Journal Article T1 Almost convergent vector-valued functions. (Spanish: Funciones vectoriales casi-convergentes). A1 Bombal Gordón, Fernando A1 Vera Boti, Gabriel AB In 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. PB Springer SN 0010-0757 YR 1975 FD 1975 LK https://hdl.handle.net/20.500.14352/64740 UL https://hdl.handle.net/20.500.14352/64740 LA spa NO BOMBAL,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. DS Docta Complutense RD 29 abr 2024