Arkiv för Matematik

  • Ark. Mat.
  • Volume 14, Number 1-2 (1976), 251-258.

An extension of Nachbin’s theorem to differentiable functions on Banach spaces with the approximation property

João B. Prolla and Claudia S. Guerreiro

Full-text: Open access

Note

Partially supported by FINEP (SPPR-Brasil) through a grant to the Instituto de Matemática—UFRJ.

Article information

Source
Ark. Mat., Volume 14, Number 1-2 (1976), 251-258.

Dates
Received: 29 August 1975
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485896475

Digital Object Identifier
doi:10.1007/BF02385839

Mathematical Reviews number (MathSciNet)
MR448077

Zentralblatt MATH identifier
0337.46023

Rights
1976 © Institut Mittag-Leffler

Citation

Prolla, João B.; Guerreiro, Claudia S. An extension of Nachbin’s theorem to differentiable functions on Banach spaces with the approximation property. Ark. Mat. 14 (1976), no. 1-2, 251--258. doi:10.1007/BF02385839. https://projecteuclid.org/euclid.afm/1485896475


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Bibliography

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  • Llavona, J. G., Notices Amer. Math. Soc., to appear.
  • Nachbin, L., Sur les algèbres denses de fonctions différentiables sur une variété, C. R. Acad. Sci. Paris 288 (1949), 1549–1551.
  • Prolla, J. B., (a) On polynomial algebras of continuously differentiable functions, Rendiconti dell’ Accademia dei Lincei, Ser. 8, 57, (1974), 481–486.
  • —, (b) Dense approximation for polynomial algebras, Bonner Mathematische Schriften, 81 (1975), 115–123.
  • Prolla, J. B., & Machado, S., Weighted Grothendieck subspaces, Trans. Amer. Math. Soc. 186 (1973), 247–258.
  • Schwartz, L., Espaces de fonctions différentiables à valeurs vectorielles. J. Analyse Math. 4 (1954–56), 88–148.