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Best simultaneous approximation to totally bounded sequences in Banach spaces |
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| Authors: | Xian Fa Luo Chong Li Genaro Lopez |
| Affiliation: | (1) Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou, 310018, P. R. China;(2) Department of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China;(3) Department of Mathematical Analysis, University of Sevilla, Sevilla, Spain |
| Abstract: | This 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. The first author is supported in part by Scientific Research Fund of Hunan Provincial Education Department (Grant No. 06C651); the second author is supported in part by the National Natural Science Foundation of China (Grant Nos. 10671175, 10731060) and Program for New Century Excellent Talents in University; the third author is supported in part by Projects MTM2006-13997-C02-01 and FQM-127 of Spain |
| Keywords: | best simultaneous approximation characterization uniqueness uniform smoothness |
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