Nevesenko, N. V. Strict sums and semicontinuity below metric projections in linear normed spaces. (English) Zbl 0408.41019 Math. Notes 23, 308-312 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 4 Documents MSC: 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 41A50 Best approximation, Chebyshev systems Keywords:Metric Projections in Linear Normed Spaces; Best Approximation; Approximation in Abstract Spaces PDF BibTeX XML Cite \textit{N. V. Nevesenko}, Math. Notes 23, 308--312 (1978; Zbl 0408.41019) Full Text: DOI References: [1] L. P. Vlasov, ”Approximative properties of sets in linear normed spaces,” Usp. Mat. Nauk,28, No. 6, 3–66 (1973). · Zbl 0293.41031 [2] L. P. Vlasov, ”Chebyshev sets and some of their generalizations,” Mat. Zametki,3, No. 1, 59–69 (1968). · Zbl 0155.45401 [3] B. Brosqwski and F. Deutsh, ”Radial continuity of set-valued metric projections,” J. Approx. Theory,11, No. 3, 236–253 (1974). · Zbl 0283.41014 · doi:10.1016/0021-9045(74)90016-1 [4] D. E. Wulbert, Continuity of Metric Projections, Approximation Theory in a Normed Linear Lattice, Thesis, Univ. Texas Comp. Center, Austin (1966). [5] V. A. Koshcheev, ”Connectivity and some approximative properties of sets in linear normed spaces,” Mat. Zametki,17, No. 2, 193–204 (1975). [6] E. V. Oshman, ”Chebyshev sets and continuity of metric projections,” Izv. Vyssh. Uchebn. Zaved., Mat.,9, 78–82 (1970). [7] M. M. Day, Normed Linear Spaces, Academic Press, New York (1962). · Zbl 0100.10802 [8] E. V. Oshman and N. V. Nevesenko, ”Continuity of multivalued metric projections in linear normed spaces,” Dokl. Akad. Nauk SSSR,223, No. 5, 1064–1066 (1975). [9] I. Singer, ”Some remarks on approximative compactness,” Rev. Rounu Math. Pures Apll.,9, No. 2, 167–177 (1964). · Zbl 0166.39405 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.