no. 3
Best approximants from non-archimedean Stone-Weierstrass subspaces
Compositio Mathematica, Tome 56 (1985) no. 3, pp. 331-349 
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     author = {Costa Soares, Maria Zoraide M.},
     title = {Best approximants from non-archimedean {Stone-Weierstrass} subspaces},
     journal = {Compositio Mathematica},
     pages = {331--349},
     year = {1985},
     publisher = {Martinus Nijhoff Publishers},
     volume = {56},
     number = {3},
     mrnumber = {814551},
     zbl = {0605.46057},
     language = {en},
     url = {https://www.numdam.org/item/CM_1985__56_3_331_0/}
}
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Costa Soares, Maria Zoraide M. Best approximants from non-archimedean Stone-Weierstrass subspaces. Compositio Mathematica, Tome 56 (1985) no. 3, pp. 331-349. https://www.numdam.org/item/CM_1985__56_3_331_0/

[1] E. Michael: Selected selection theorems, Amer. Math. Monthly 63 (1956) 233-238. | Zbl | MR

[2] C. Olech: Approximation of set-valued functions by continuous functions, Colloquium Mathematicum 19 (1968) 285-303. | Zbl | MR

[3] J.B. Prolla and S. Machado: Stone-Weierstrass theorems for set-valued mappings, Journal of Approximation Theory, Vol. 36 (1982) 1-15. | Zbl | MR

[4] J.B. Prolla: Topics in Functional Analysis over Valued Division Rings, North-Holland, Mathematics Studies; 77 (1982). | Zbl | MR

[5] M.Z.M.C. Scares: Non-Archimedean Nachbin Spaces, Portugaliae Mathematica, Vol. 39 (1980) to appear. | Zbl | MR