Bulletin of the American Mathematical Society

Compact holomorphic mappings on Banach spaces and the approximation property

Richard M. Aron and Martin Schottenloher

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 80, Number 6 (1974), 1245-1249.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183536039

Mathematical Reviews number (MathSciNet)
MR0355594

Zentralblatt MATH identifier
0294.46027

Subjects
Primary: 46B99: None of the above, but in this section 46E10: Topological linear spaces of continuous, differentiable or analytic functions 46E40: Spaces of vector- and operator-valued functions 46G99: None of the above, but in this section

Citation

Aron, Richard M.; Schottenloher, Martin. Compact holomorphic mappings on Banach spaces and the approximation property. Bull. Amer. Math. Soc. 80 (1974), no. 6, 1245--1249. https://projecteuclid.org/euclid.bams/1183536039


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References

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  • 2. R. Aron, Entire functions of unbounded type on a Banach space, Bol. Un. Mat. Ital. (4) 9 (1974), 28-31.
  • 3. K.-D. Bierstedt and R. Meise, Einige Bemerkungen über die Approximationseigenschaft lokalkonvexer Räume, preprint, Kaiserslautern, 1973; Bemerkungen über die Approximationseigenschaft lokalkonvexer Funktionenräume, Math. Ann. 209 (1974), 99-107.
  • 4. P. Enflo, A counterexample to the approximation property in Banach spaces, Acta Math. 130 (1973), 309-317.
  • 5. A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955). MR 17, 763.
  • 6. L. Nachbin, Topology on spaces of holomorphic mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 47, Springer-Verlag, New York, 1969. MR 40 #7787.
  • 7. L. Nachbin, Recent developments in infinite dimensional holomorphy, Bull. Amer. Math. Soc. 79 (1973), 625-640.
  • 8. M. Schottenloher, ϵ-product and continuation of analytic mappings, Analyse Fonctionnelle et Applications, Hermann, Paris. (to appear)
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