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Bishop’s generalized Stone-Weierstraß theorem for weighted spaces. (English) Zbl 0202.12603

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[1] Bishop, E.: A generalization of the Stone-Weierstrass theorem. Pacific J. Math.11, 777-783 (1961). · Zbl 0104.09002
[2] Branges, L., de: The Stone-Weierstrass theorem. Proc. Amer. Math. Soc.10, 822-824 (1959). · Zbl 0092.11801
[3] Glicksberg, I.: Measures orthogonal to algebras and sets of antisymmetry. Trans. Amer. Math. Soc.104, 415-435 (1962). · Zbl 0111.11801 · doi:10.1090/S0002-9947-1962-0173957-5
[4] ?? Bishop’s generalized Stone-Weierstrass theorem for the strict topology. Proc. Amer. Math. Soc.14, 329-333 (1963). · Zbl 0113.31501
[5] 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 · doi:10.2307/1970617
[6] – Machado, S., Prolla, J.B.: Weighted approximation, vector fibrations and algebras of operators. J. de Math. Pures et Appliquées (to appear). · Zbl 0238.46042
[7] Prolla, J.B.: Weighted spaces of vector-valued continuous functions. Ann. Mat. pura appl. (to appear). · Zbl 0224.46024
[8] Summers, W. H.: Weighted locally convex spaces of continuous functions. Ph. D. Dissertation, Louisiana State University, 1968.
[9] ?? Dual spaces of weighted spaces. Trans. Amer. Math. Soc.151, 323-333 (1970). · Zbl 0203.12401 · doi:10.1090/S0002-9947-1970-0270129-5
[10] Todd, C.: Stone-Weierstrass theorems for the strict topology. Proc. Amer. Math. Soc.16, 654-659 (1965). · Zbl 0141.12203 · doi:10.1090/S0002-9939-1965-0179645-1
[11] Wells, J.: Bounded continuous vector-valued functions on a locally compact space. Michigan Math. J.12, 119-126 (1965). · Zbl 0163.36301 · doi:10.1307/mmj/1028999252
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