Research partially supported by the Instituto de Matemática, Universidade Federal do Rio de Janeiro, Brasil, Conselho Nacional de Desenvolvimento Científico e Tecnologico (CNPq) and Financiadora de Estudos e Projetos (FINEP).
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References
R. M. Aron and R. M. Schottenloher, Compact holomorphic mappings on Banach spaces and the approximation property, Bull. A.M.S. Nov. 1974, Vol 80, No 6, 1245–1249; also, to appear in J. Funct. Anal.
S. Banach, Théorie des Opérations Linèaires, Hafner Pub. Co.
C. Bessaga and A. Pelczynski, Some remarks on conjugate spaces containing subspaces isomorphic to the space co, Bull. Acad. Pol. Sc. VI, 4, 1958, 249–250.
J. Diestel and R. Lohman, Applications of mapping theorems to Schwartz spaces and projections, Mich. Math. J. 20, 1973, 39–44.
A. Grothendieck Sur les applications faiblement compactes d'espaces du type C(K), Can. J. Math. 1953, 129–173.
L. Nachbin, Topology on spaces of holomorphic mappings, Erg. d. Math. 47, Springer-Verlag, Berlin, 1969.
A. Pelczynski, A theorem of Dunford-Pettis type for polynomial Operators, Bull. Acad. Pol. Sc. XI, 6, 1963, 379–386.
A. Pelczynski and Z. Semadeni, Spaces of continuous functions III, St. Math. XVIII, 1959, 211–222.
R. S. Phillips, On linear transformations, Trans. A.M.S., Nov. 1940, Vol 48, 516–541.
H. P. Rosenthal, Quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from LP(μ) to Lr(√), J. Funct. Anal. 4, 1969, 176–214.
M. M. Vainberg, Variational methods for the study of non-linear operators, Holden-Day, San Francisco, 1964.
D. Wulbert, Approximation by Ck-Functions, in Approximation Theory, ed. G. G. Lorentz, Academic Press, 1973, 217–239.
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Aron, R.M. (1976). Compact polynomials and compact differentiable mappings between Banach spaces. In: Lelong, P. (eds) Séminaire Pierre Lelong (Analyse) Année 1974/75. Lecture Notes in Mathematics, vol 524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078007
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DOI: https://doi.org/10.1007/BFb0078007
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