Best approximants from non-archimedean Stone-Weierstrass subspaces

Maria Zoraide M. Costa Soares

Compositio Mathematica (1985)

  • Volume: 56, Issue: 3, page 331-349
  • ISSN: 0010-437X

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Costa Soares, Maria Zoraide M.. "Best approximants from non-archimedean Stone-Weierstrass subspaces." Compositio Mathematica 56.3 (1985): 331-349. <http://eudml.org/doc/89744>.

@article{CostaSoares1985,
author = {Costa Soares, Maria Zoraide M.},
journal = {Compositio Mathematica},
keywords = {approximation theory in non-Archimedean normed spaces; Stone-Weierstrass type theorems; Chebyshev center; space of continuous functions on a locally compact Hausdorff space and with values in a non-Archimedean normed space},
language = {eng},
number = {3},
pages = {331-349},
publisher = {Martinus Nijhoff Publishers},
title = {Best approximants from non-archimedean Stone-Weierstrass subspaces},
url = {http://eudml.org/doc/89744},
volume = {56},
year = {1985},
}

TY - JOUR
AU - Costa Soares, Maria Zoraide M.
TI - Best approximants from non-archimedean Stone-Weierstrass subspaces
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 56
IS - 3
SP - 331
EP - 349
LA - eng
KW - approximation theory in non-Archimedean normed spaces; Stone-Weierstrass type theorems; Chebyshev center; space of continuous functions on a locally compact Hausdorff space and with values in a non-Archimedean normed space
UR - http://eudml.org/doc/89744
ER -

References

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  1. [1] E. Michael: Selected selection theorems, Amer. Math. Monthly63 (1956) 233-238. Zbl0070.39502MR1529282
  2. [2] C. Olech: Approximation of set-valued functions by continuous functions, Colloquium Mathematicum19 (1968) 285-303. Zbl0183.13603MR227750
  3. [3] J.B. Prolla and S. Machado: Stone-Weierstrass theorems for set-valued mappings, Journal of Approximation Theory, Vol. 36 (1982) 1-15. Zbl0493.41042MR673852
  4. [4] J.B. Prolla: Topics in Functional Analysis over Valued Division Rings, North-Holland, Mathematics Studies; 77 (1982). Zbl0506.46059MR688308
  5. [5] M.Z.M.C. Scares: Non-Archimedean Nachbin Spaces, Portugaliae Mathematica, Vol. 39 (1980) to appear. Zbl0538.46058MR776256

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