On the closure of modules of continuously differentiable mappings
Rendiconti del Seminario Matematico della Università di Padova, Tome 60 (1978), pp. 33-42. 
@article{RSMUP_1978__60__33_0,
     author = {Nachbin, Leopoldo},
     title = {On the closure of modules of continuously differentiable mappings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {33--42},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {60},
     year = {1978},
     mrnumber = {555954},
     zbl = {0433.46034},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1978__60__33_0/}
}
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
SP  - 33
EP  - 42
VL  - 60
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1978__60__33_0/
LA  - en
ID  - RSMUP_1978__60__33_0
ER  - 
%0 Journal Article
%A Nachbin, Leopoldo
%T On the closure of modules of continuously differentiable mappings
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1978
%P 33-42
%V 60
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1978__60__33_0/
%G en
%F RSMUP_1978__60__33_0
Nachbin, Leopoldo. On the closure of modules of continuously differentiable mappings. Rendiconti del Seminario Matematico della Università di Padova, Tome 60 (1978), pp. 33-42. http://www.numdam.org/item/RSMUP_1978__60__33_0/

[1] R.M. Aron - J.B. Prolla, Polynomial approximation of differentiable functions on Banach spaces, Journal für die Reine und Angewandte Mathematik, to appear. | EuDML | MR | Zbl

[2] C.S. Guerreiro, Ideias de funções diferenciáveis, Anais da Academia Brasileira de Ciências, 49 (1977), pp. 47-70. | MR | Zbl

[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. | MR | Zbl

[4] J. Lesmes, On the approximation of continuously differentiable functions in Hilbert spaces, Revista Colombiana de Matemática, 8 (1974), pp. 217-223. | EuDML | MR | Zbl

[5] J.G. Llavona, Aproximación de funciones diferentiables, Universidad Complutense de Madrid, 1975.

[6] J.G. Llavona, Approximation of differentiable functions, Advances in Mathematics, to appear.

[7] B. Malgrange, Ideals of differentiable functions, Oxford University Press, 1966. | MR | Zbl

[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. | MR | Zbl

[9] L. Nachbin, Sur la densité des sous-algèbres polynomiales d'applications continûment différentiables, Séminaire Pierre Lelong - Henri Skoda (1976-1977), Lecture Notes in Mathematics 694 (1978), to appear. | MR | Zbl

[10] V. Poenaru, Analyse différentielle, Lecture Notes in Mathematics 371 (1974). | MR | Zbl

[11] J.B. Prolla, On polynomial algebras of continuousty differentiable functions, Rendiconti della Accademia Nazionale dei Lincei, 57 (1974), pp. 481-486. | MR | Zbl

[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. | MR | Zbl

[13] J.C. Tougeron, Idéaux de fonctions différentiables, Springer-Verlag, 1972. | MR | Zbl

[14] H. Witney, On ideals of differentiable functions, American Journal of Mathematics, 70 (1948), pp. 635-658. | MR | Zbl