Luo, Xian FaLi, ChongLópez Acedo, Genaro2016-11-282016-11-282008-09Luo, X.F., Li, C. y López Acedo, G. (2008). Best simultaneous approximation to totally bounded sequences in Banach spaces. Acta Mathematica Sinica, 24 (9), 1541-1554.1439-85161439-7617http://hdl.handle.net/11441/49242This paper is concerned with the problem of best weighted simultaneous approximations to totally bounded sequences in Banach spaces. Characterization results from convex sets in Banach spaces are established under the assumption that the Banach space is uniformly smooth.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Best simultaneous approximationCharacterizationUniquenessUniform smoothnessinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10114-007-6575-0