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Amir, Dan; Deutsch, Frank

Suns, moons, and quasi-polyhedra. (English) Zbl 0238.41014

J. Approximation Theory 6, 176-201 (1972).
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Cited in 2 Reviews
Cited in 30 Documents

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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References:

[1] Blatter, J., Zur stetigen Abhängigkeit der Menge der besten Approximierenden eines Elementes in einem normierten reellen Vektorraum, (Collatz, L.; Meinardus, G., Numerische Mathematik, Differentialgleichungen, Approximationstheorie. Numerische Mathematik, Differentialgleichungen, Approximationstheorie, ISNM, Vol. 9 (1968), Birkhauser: Birkhauser Basel), 225-227 · Zbl 0184.15301
[2] Blatter, J.; Morris, P.; Wulbert, D., Continuity of the set-valued metric projection, Math. Annal., 178, 12-24 (1968) · Zbl 0189.42904
[3] Breckner, W.; Kolumban, I., Théorèmes de caractérisation des éléments de la meilleure approximation, C. R. Acad. Sci. Paris, 226, 206-208 (1968) · Zbl 0155.45302
[4] Breckner, W.; Kolumban, I., Über die Charakterisierung von Minimallösungen in linearen normierten Räumen, Mathematica (Cluj), 10, 33-46 (1968) · Zbl 0189.12502
[5] Brosowski, B., Nicht-lineare Tschebyscheff-Approximation (1968), B. I.-Hochschulskripten: B. I.-Hochschulskripten 808/808a, Mannheim · Zbl 0167.33401
[6] Brosowski, B., Nichtlineare Approximation in normierten Vektorräumen, (Butzer, P. L.; -Nagy, B. Sz, Abstract Spaces and Approximation. Abstract Spaces and Approximation, ISNM, Vol. 10 (1969), Birkhäuser: Birkhäuser Basel) · Zbl 0189.12601
[7] Brosowski, B.; Weber, H., Zum Begriff der Regularität in normierten Vektorräumen, Max-Planck-Institut Technical Report (March 1969), München · Zbl 0199.43801
[8] Brosowski, B., Einige Bemerkungen zum verallgemeinerten Kolmogoroffschen Kriterium, (Collatz, L.; Unger, H., Funktionalanalytische Methoden der Numerische Mathematik. Funktionalanalytische Methoden der Numerische Mathematik, ISNM, Vol. 12 (1969), Birkhäuser: Birkhäuser Basel) · Zbl 0199.43802
[9] Brosowski, B.; Deutsch, F., Characterization of Kolmogorov sets in \(C(Q,l_1^n)\) (Aug. 1969), unpublished
[10] B. Browowski and R. WegmannJ. Approximation Theory; B. Browowski and R. WegmannJ. Approximation Theory
[11] B. Brosowski and F. DeutschJ. Approximation Theory; B. Brosowski and F. DeutschJ. Approximation Theory · Zbl 0231.46041
[12] Brown, A. L., Best \(n\)-dimensional approximation to sets of functions, (Proc. London Math. Soc., 14 (1964)), 577-594 · Zbl 0129.04702
[13] Day, M. M., Normed Linear Spaces (1958), Springer-Verlag: Springer-Verlag New York · Zbl 0082.10603
[14] Deutsch, F. R.; Maserick, P. H., Applications of the Hahn-Banach theorem in approximation theory, SIAM Rev., 9, 516-530 (1967) · Zbl 0166.10501
[15] F. Deutsch and R. LindahlMath. Annalen; F. Deutsch and R. LindahlMath. Annalen · Zbl 0223.46020
[16] Dunford, N.; Schwartz, J. T., (Linear Operators, Vol. I (1958), Interscience: Interscience New York) · Zbl 0084.10402
[17] Efimov, N.; Steckin, S., Some properties of Chebyshev sets, Dokl. Akad. Nauk SSSR, 118, 17-19 (1958), (Russian) · Zbl 0081.16402
[18] Hewitt, E.; Stromberg, K., Real and Abstract Analysis (1965), Springer-Verlag: Springer-Verlag New York · Zbl 0137.03202
[19] Klee, V., Some characterizations of convex polyhedra, Acta Math., 102, 79-107 (1959) · Zbl 0094.16802
[20] Maserick, P. H., Convex polytopes in linear spaces, Illinois J. Math., 9, 623-635 (1965) · Zbl 0142.09803
[21] Singer, I., Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces (1970), Springer-Verlag: Springer-Verlag New York · Zbl 0197.38601
[22] Vlasov, L., On Chebyshev sets in Banach spaces, Dokl. Akad. Nauk SSSR, 141, 19-20 (1961), (Russian) · Zbl 0098.30404
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