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Der beschränkte Fall des gewichteten Approximationsproblems für vektorwertige Funktionen. (German) Zbl 0343.41033

MSC:
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
46E10 Topological linear spaces of continuous, differentiable or analytic functions
46E40 Spaces of vector- and operator-valued functions
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[1] BIERSTEDT, K.-D.: Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I. J.f.d. reine u. angew. Math.259, 186-210 (1973) · Zbl 0252.46039
[2] ?: Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II. J.f.d. reine u. angew. Math.260, 133-146 (1973) · Zbl 0255.46025
[3] ?: Injektive Tensorprodukte und Slice-Produkte gewichteter Räume stetiger Funktionen. J.f.d. reine u. angew. Math.266, 121-131 (1974) · Zbl 0277.46019
[4] -: The approximation property for weighted function spaces. to appear in Bonner Math. Schriften (Proc. Conference Bonn, 1974)
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[6] BUCHWALTER, H.: Topologies et compactologies. Publ. Dépt. Math. Lyon6-2, 1-74 (1969) · Zbl 0205.41601
[7] DINCULEANU, N.: Vector measures. 1. Aufl. Berlin: VEB Deutscher Verlag der Wissenschaften 1967 · Zbl 0156.14902
[8] FUCHSSTEINER, B.: Sandwich theorems and lattice semi-groups. J. Functional Analysis16, 1-14 (1974) · Zbl 0283.06007
[9] GLICKSBERG, I.: Stone-?ech compactifications of products. Trans. Amer. Math. Soc.90, 369-382 (1959) · Zbl 0089.38702
[10] KLEINSTÜCK, G.: Duals of weighted spaces of continuous functions. to appear in Bonner Math. Schriften (Proc. Conference Bonn, 1974) · Zbl 0345.46023
[11] KÖNIG, H.: Sublineare Funktionale. Arch. Math.23, 500-508 (1972) · Zbl 0248.46007
[12] NACHBIN, L.: Weighted approximation for algebras and modules of continuous functions: real and self-adjoint complex cases. Ann. of Math.81, 289-302 (1965) · Zbl 0134.12603
[13] ?: Elements of approximation theory. First ed. Princeton-Toronto-London-Melbourne: Van Nostrand Company (1967) · Zbl 0173.41403
[14] PROLLA, J.B.: Weighted spaces of vector-valued continuous functions. Ann. Mat. Pura Appl. (4)89, 145-158 (1971) · Zbl 0224.46024
[15] ?: Bishop’s generalized Stone-Weierstrass theorem for weighted spaces. Math. Ann.191, 283-289 (1971) · Zbl 0207.11901
[16] ?: The weighted Dieudonné theorem for density in tensor products. Indag. Math.33, 170-175 (1971) · Zbl 0208.37602
[17] SUMMERS, W.H.: A representation theorem for biequicontinuous completed tensor products of weighted spaces. Trans. Amer. Math. Soc.146, 121-132 (1969) · Zbl 0189.12702
[18] ?: Dual spaces of weighted spaces. Trans. Amer. Math. Soc.151, 323-333 (1970) · Zbl 0203.12401
[19] SUMMERS, W.H.: The bounded case of the weighted approximation problem. p. 177-183 in ?Functional analysis and applications (Symposium Recife, Brasil 1972)?, Springer Lecture Notes in Math.384 (1974)
[20] -: Weighted approximation for modules of continuous functions II. Proc. Symp. Rio de Janeiro (1972), to appear (Hermann, Paris)
[21] -: to appear (cf. Abstracts of Communications, Intern. Congress of Math., Vancouver, 1974)
[22] BIERSTEDT, K.-D., GRAMSCH, B., MEISE, R.: erscheint noch
[23] NACHBIN, L., MACHADO, S., PROLLA, J.B.: Weighted approximation, vector fibrations and algebras of operators. J. Math. pures et appl.50, 299-323 (1971) · Zbl 0238.46041
[24] BUCHWALTER, H.: Produit topologique, produit tensoriel et c-repletion. Bull. Soc. math. France, Mém.31-32, 51-71 (1972)
[25] PUPIER, R.: Méthodes fonctorielles en topologie générale. Thèse Fac. Sc. Lyon, 1-121 (1971)
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