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Bishop's generalized Stone-Weierstrass theorem for weighted spaces

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References

  1. Bishop, E.: A generalization of the Stone-Weierstrass theorem. Pacific J. Math.11, 777–783 (1961).

    Google Scholar 

  2. Branges, L., de: The Stone-Weierstrass theorem. Proc. Amer. Math. Soc.10, 822–824 (1959).

    Google Scholar 

  3. Glicksberg, I.: Measures orthogonal to algebras and sets of antisymmetry. Trans. Amer. Math. Soc.104, 415–435 (1962).

    Google Scholar 

  4. —— Bishop's generalized Stone-Weierstrass theorem for the strict topology. Proc. Amer. Math. Soc.14, 329–333 (1963).

    Google Scholar 

  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).

    Google Scholar 

  6. -- Machado, S., Prolla, J.B.: Weighted approximation, vector fibrations and algebras of operators. J. de Math. Pures et Appliquées (to appear).

  7. Prolla, J.B.: Weighted spaces of vector-valued continuous functions. Ann. Mat. pura appl. (to appear).

  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).

    Google Scholar 

  10. Todd, C.: Stone-Weierstrass theorems for the strict topology. Proc. Amer. Math. Soc.16, 654–659 (1965).

    Google Scholar 

  11. Wells, J.: Bounded continuous vector-valued functions on a locally compact space. Michigan Math. J.12, 119–126 (1965).

    Google Scholar 

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Research supported by a grant from the National Science Foundation, GP 22713.

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Prolla, J.B. Bishop's generalized Stone-Weierstrass theorem for weighted spaces. Math. Ann. 191, 283–289 (1971). https://doi.org/10.1007/BF01350331

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