On the closure of modules of continuously differentiable mappings

Leopoldo Nachbin

Rendiconti del Seminario Matematico della Università di Padova (1978)

  • Volume: 60, page 33-42
  • ISSN: 0041-8994

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Nachbin, Leopoldo. "On the closure of modules of continuously differentiable mappings." Rendiconti del Seminario Matematico della Università di Padova 60 (1978): 33-42. <http://eudml.org/doc/107703>.

@article{Nachbin1978,
author = {Nachbin, Leopoldo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {algebras and modules of differentiable functions},
language = {eng},
pages = {33-42},
publisher = {Seminario Matematico of the University of Padua},
title = {On the closure of modules of continuously differentiable mappings},
url = {http://eudml.org/doc/107703},
volume = {60},
year = {1978},
}

TY - JOUR
AU - Nachbin, Leopoldo
TI - On the closure of modules of continuously differentiable mappings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1978
PB - Seminario Matematico of the University of Padua
VL - 60
SP - 33
EP - 42
LA - eng
KW - algebras and modules of differentiable functions
UR - http://eudml.org/doc/107703
ER -

References

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  1. [1] R.M. Aron - J.B. Prolla, Polynomial approximation of differentiable functions on Banach spaces, Journal für die Reine und Angewandte Mathematik, to appear. Zbl0413.41022MR552473
  2. [2] C.S. Guerreiro, Ideias de funções diferenciáveis, Anais da Academia Brasileira de Ciências, 49 (1977), pp. 47-70. Zbl0367.46020MR649260
  3. [3] C.S. Guerreiro, Whitney's spectral synthesis theorem is infinite dimensions, in Approximation Theory and Functional Analysis (Editor: J. B. PROLLA), Notas de Matemática (1979), North-Holland, to appear. Zbl0409.41015MR553420
  4. [4] J. Lesmes, On the approximation of continuously differentiable functions in Hilbert spaces, Revista Colombiana de Matemática, 8 (1974), pp. 217-223. Zbl0293.41032MR358346
  5. [5] J.G. Llavona, Aproximación de funciones diferentiables, Universidad Complutense de Madrid, 1975. 
  6. [6] J.G. Llavona, Approximation of differentiable functions, Advances in Mathematics, to appear. Zbl0642.41001
  7. [7] B. Malgrange, Ideals of differentiable functions, Oxford University Press, 1966. Zbl0177.17902MR212575
  8. [8] L. Nachbin, Sur les algèbres denses de fonctions différentiables sur une variété, Comptes Rendus de l'Académie des Sciences de Paris, 228 (1949), pp. 1549-1551. Zbl0033.37801MR30590
  9. [9] L. Nachbin, Sur la densité des sous-algèbres polynomiales d'applications continûment différentiables, Séminaire Pierre Lelong - Henri Skoda (1976-1977), Lecture Notes in Mathematics694 (1978), to appear. Zbl0412.46032MR522477
  10. [10] V. Poenaru, Analyse différentielle, Lecture Notes in Mathematics371 (1974). Zbl0282.58004MR353360
  11. [11] J.B. Prolla, On polynomial algebras of continuousty differentiable functions, Rendiconti dellaAccademia Nazionale dei Lincei, 57 (1974), pp. 481-486. Zbl0332.46028MR423407
  12. [12] J.B. Prolla - C.S. Guerreiro, An extension of Nachbin's theorem to differentiable functions on Banach spaces with the approximation property, Arkiv för Mathematik, 14 (1976), pp. 251-258. Zbl0337.46023MR448077
  13. [13] J.C. Tougeron, Idéaux de fonctions différentiables, Springer-Verlag, 1972. Zbl0251.58001MR440598
  14. [14] H. Witney, On ideals of differentiable functions, American Journal of Mathematics, 70 (1948), pp. 635-658. Zbl0037.35502MR26238

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