Restricted range simultaneous approximation and interpolation with preservation of the norm

J.B. Prolla; S. Navarro

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 225-235
  • ISSN: 1259-1734

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Prolla, J.B., and Navarro, S.. "Restricted range simultaneous approximation and interpolation with preservation of the norm." Annales mathématiques Blaise Pascal 2.1 (1995): 225-235. <http://eudml.org/doc/79118>.

@article{Prolla1995,
author = {Prolla, J.B., Navarro, S.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {complete non-Archimedean non-trivially valued division ring; ring of all continuous functions; interpolating family; simultaneous approximation and interpolation with preservation of the norm; von Neumann subsets; restricted range polynomial algebras},
language = {eng},
number = {1},
pages = {225-235},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Restricted range simultaneous approximation and interpolation with preservation of the norm},
url = {http://eudml.org/doc/79118},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Prolla, J.B.
AU - Navarro, S.
TI - Restricted range simultaneous approximation and interpolation with preservation of the norm
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 225
EP - 235
LA - eng
KW - complete non-Archimedean non-trivially valued division ring; ring of all continuous functions; interpolating family; simultaneous approximation and interpolation with preservation of the norm; von Neumann subsets; restricted range polynomial algebras
UR - http://eudml.org/doc/79118
ER -

References

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  1. [1 ] R.I. Jewett. A variation on the Stone -Weierstrass theorem, Proc. Amer. Math Soc.14 (1963), 690 - 693. Zbl0122.35004MR152882
  2. [2 ] I. Kaplansky. Topological rings, Amer. J. Math69 (1947), 153 -183. Zbl0034.16604MR19596
  3. [3 ] I. Kaplansky, The Weierstrass theorem in fields with valuations. Proc. Amer. Math. Soc.1 (1950), 356-357. Zbl0038.07002MR35760
  4. [4 ] J.B. Prolla, Topics in Functional Analysis over valued division rings, North-Holland Math. Studies 77 (Notas de Matemática89), North-Holland Publ. Co., Amsterdam, 1982. Zbl0506.46059MR688308
  5. [5 ] J.B. Prolla, On von Neumann's variation of the Weierstrass-Stone theorem, Numer. Funct. Anal. and Optimiz.13 (1992), 349-353. Zbl0771.54013MR1179363
  6. [6 ] J.B. Prolla. The Weierstrass-Stone theorem in absolute valued division rings, Indag. Mathem., N.S.4 (1993), 71-78. Zbl0778.46050MR1213324
  7. [7 ] T.J. Ransford, A short elementary proof of the Bishop-Stone-Weierstrass theorem. Math. Proc. Camb. Phil. Soc.96 (1984), 309-311. Zbl0537.41018MR757664
  8. [8 ] J. von Neumann, Probabilistic logics and the synthesis of reliable organisms from unreliable components. In Automata Studies. , C.E. Shannon, J. Mc Carthy, Annals of Math. Studies34, Princeton Univ. Press, Princeton N.J., 1956, pp. 43-98. MR77479

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