Artículos de revistas
Absolutely Summing Holomorphic Mappings
Registro en:
Anais Da Academia Brasileira De Ciencias. , v. 68, n. 1, p. X - 13, 1996.
13765
2-s2.0-0002713733
Autor
Matos M.C.
Institución
Resumen
For complex Banach spaces E, F and s, r ∈ [1, +∞] we consider the concept of absolutely (s; r)-summing entire mappings from E into F. Several results and examples show that the existence of such mappings is not a rare fact. We study the possibility of factorization results through Lp spaces for these mappings. 68 1 X 13 Alencar, R., Matos, M.C., (1989) Some Classes of Multilinear Mappings between Banach Spaces, , Publicaciones del Departamento de Analisis Matematico, Seccion 1, no. 12 - Universidad Complutense de Madri Aron, R.M., Globevnik, J., Analytic functions on CO (1989) Revista Math., 2, pp. 27-33 Braunss, H.A., On holomorphic mappings of Schatten class type (1992) Arch. Math., 59, pp. 450-456 Braunss, H.A., Junek, H., On types of polynomials and holomorphic functions on Banach spaces (1990) Note di Matematica, pp. 47-58. , X, 1 Cobos, F., Kühn, T., Peetre, J., Schatten-Von Newmann Classes of Multilinear Forms, , preprint Dineen, S., Complex Analysis in Locally Convex Spaces (1981) Mathematics Studies, p. 57. , Notas de Matemática 83, North-Holland, Amsterdam Grothendieck, A., Resumé de la théorie métrique des produits tensoriels topologiques (1956) Bol. Soc. Math., 8, pp. 1-79. , São Paulo Junek, H., Polynomials and Holomorphic Functions on Interpolation Spaces (1989) Mathematica et Physica, 30 (2), pp. 69-75. , Acta Universitatis Carolinae Kwapien, S., On a theorem of L. Schwartz and its applications to absolutely summing operators (1970) Studia Mat., 38, pp. 193-201 Lindenstrauss, J., Pelczynski, A., Absolutely summing operators in £ρ spaces and their applications (1968) Studia Math., 29, pp. 275-326 Matos, M.C., On multilinear mappings of nuclear type (1993) Revista Matematica, 6 (1), pp. 61-81 Matos, M.C., Strictly Absolutely Summing Multilinear Mappings, , preprint Mujica, J., Complex analysis in Banach spaces (1986) North-Holland Mathematics Studies, p. 120. , Notas de Matemática 107. North-Holland. Amsterdam, 1986 Nachbin, L., Topology on spaces of holomorphic mappings (1969) Ergebn. Math. Grenzgeb., p. 47. , Springer-Verlag, New York Pietsch, A., Ideals of Multilinear Functionals (1983) Proceedings of the Second International Conference on Operator Algebras, Ideals, and Their Applications in Theoretical Physics, pp. 185-199. , Teubner-Texte, Leipzig Pietsch, A., (1980) Operator Ideals, , North-Holland, Amsterdam Schwartz, L., Probabilités cylindriques et applications radonifiantes (1969) C. R. Acad. Paris, 268, pp. 646-648 Zorn, M., Characterization of analytic functions in Banach spaces (1945) Ann. of Math., (2), pp. 585-593