Artículos de revistas
Holomorphic Functions On Banach Spaces
Registro en:
Note Di Matematica. , v. 25, n. 2, p. 113 - 138, 2006.
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2-s2.0-68949116851
Autor
Mujica J.
Institución
Resumen
This is a survey about some problems from the theory of holomorphic functions on Banach spaces which have attracted the attention of many researchers during the last thirty years. 25 2 113 138 Alencar, R., Multilinear mappings of nuclear and integral type (1985) Proc. Amer. Math. Soc., 94, pp. 33-38 Alencar, R., On reflexivity and basis for P(mE) (1985) Proc. Roy. Irish Acad., 85, pp. 131-138 Alencar, R., An application of Singer's theorem to homogeneous polynomials (1993), pp. 1-8. , in: Banach Spaces, edited by B. Lin and W. Johnson, Contemporary Math. 144, American Mathematical Society, Providence, Rhode IslandAlencar, R., Aron, R., Dineen, S., A reflexive space of holomorphic functions in infinitely many variables (1984) Proc. Amer. Math. Soc., 90, pp. 407-411 Alencar, R., Aron, R., Fricke, G., Tensor products of Tsirelson's space (1987) Illinois J. Math., 31, pp. 17-23 Alencar, R., Floret, K., Weak-strong continuity of multilinear mappings and the Pelczynski-Pitt theorem (1997) J. Math. Anal. Appl., 206, pp. 532-546 Alencar, R., Floret, K., Weak continuity of multilinear mappings on Tsirelson's space (1998) Quaest. Math., 21, pp. 177-186 Aron, R., Cole, B., Gamelin, T., Weak-star continuous analytic functions (1995) Canad. J. Math., 47, pp. 673-683 Aron, R., Hervés, C., Valdivia, M., Weakly continuous mappings on Banach spaces (1983) J. Funct. Anal., 52, pp. 189-204 Aron, R., Prolla, J.B., Polynomial approximation of differentiable functions on Banach spaces (1980) J. Reine Angew. Math., 313, pp. 195-216 Aron, R., Schottenloher, M., Compact holomorphic mappings on Banach spaces and the approximation property (1976) J. Funct. Anal., 21, pp. 7-30 Carríon, H., Entire functions on Banach spaces with a separable dual (2002) J. Funct. Anal., 189, pp. 496-514 Clayton, D., A reduction of the continuous homomorphism problem for F-algebras (1975) Rocky Mountain J. Math., 5, pp. 337-344 Craw, I., A condition equivalent to the continuity of characters on a Fréchet algebra (1971) Proc. London Math. Soc., 22 (3), pp. 452-464 Dales, H., Automatic continuity: a survey (1978) Bull. London Math. Soc., 10, pp. 129-183 Davis, W., Fiegel, T., Johnson, W., Pelczynski, A., Factoring weakly compact operators (1974) J. Funct. Anal., 17, pp. 311-327 Diestel, J., Sequences and Series in Banach spaces (1984), Springer, New YorkDineen, S., Holomorphy types on a Banach space (1971) Studia Math., 39, pp. 241-288 Dineen, S., Unbounded holomorphic functions on a Banach space (1972) J. London Math. Soc., 4 (2), pp. 461-465 Dineen, S., Complex Analysis on Locally Convex Spaces (1981), North-Holland, AmsterdamDineen, S., Entire functions on c0 (1983) J. Funct. Anal., 52, pp. 205-218 Dineen, S., Complex Analysis on Infinite Dimensional Spaces (1999), Springer, LondonDixmier, J., Sur un théorème de Banach (1948) Duke Math. J., 15, pp. 1057-1071 Dixon, P., Esterle, J., Michael's problem and the Poincaré-Fatou Bieberbach phenomenon (1986) Bull. Amer. Math. Soc., 15, pp. 127-187 Dixon, P., Fremlin, D., A remark concerning multiplicative functionals on LMC algebras (1972) J. London Math. Soc., 2 (5), pp. 231-232 Enflo, P., A counterexample to the approximation property in Banach spaces (1973) ActaMath., 130, pp. 309-317 Farmer, J., Polynomial reflexivity in Banach spaces (1994) Israel J. Math., 87, pp. 257-273 Figiel, W.J., A uniformly convex Banach space which contains no ℓp (1974) Compositio Math., 29, pp. 179-190 Galindo, P., Moraes, L.A., Mujica, J., Weak holomorphic convergence and bounding sets in Banach spaces (1998) Math. Proc. Roy. Irish Acad., 98, pp. 153-157 Gamelin, T., Analytic functions on Banach spaces (1994), pp. 187-233. , in: Complex Potential Theory, edited by P. Gauthier et al., Kluwer, DordrechtGillman, L., Jerison, M., Rings of Continuous Functions (1960), Van Nostrand, New YorkGonzalo, R., Jaramillo, J., Compact polynomials between Banach spaces (1995) Proc. Roy. Irish Acad., 95, pp. 213-226 Grothendieck, A., Produits Tensoriels Topologiques et Espaces Nucléaires (1955) Memoirs American Mathematical Society 16, , Providence, Rhode Island Gupta, C., Malgrange theorem for nuclearly entire functions of bounded type on a Banach space (1966), doctoral thesis, University of Rochester, Rochester, New YorkGutiérrez, J., Weakly continuous functions on Banach spaces not containing ℓ1 (1993) Proc. Amer. Math. Soc., 119, pp. 147-152 Jaramillo, G.J., Llavona, J.G., Polynomials and geometry of Banach spaces (1995) Extracta Math., 10, pp. 79-114 Holmes, R., Geometric Functional Analysis and its Applications (1975), Springer, New YorkJames, R., Characterizations of reflexivity (1964) Studia Math., 23, pp. 205-216 Jaramillo, J., Moraes, L.A., Duality and reflexivity in spaces of polynomials (2000) Arch. Math. (Basel), 74, pp. 282-293 Josefson, B., Weak sequential convergence in the dual of a Banach space does not imply norm convergence (1975) Ark. Mat., 13, pp. 79-89 Lindenstrauss, J., Tzafriri, L., Classical Banach Spaces I (1977), Springer, BerlinMichael, E., Locally Multiplicatively-Convex Topological Algebras (1952) Memoirs American Mathematical Society 11, , Providence, Rhode Island Mujica, J., Complex homomorphisms of the algebras of holomorphic functions on Fréchet spaces (1979) Math. Ann., 241, pp. 73-82 Mujica, J., Complex Analysis in Banach Spaces (1986), North-Holland, AmsterdamMujica, J., Spectra of algebras of holomorphic functions on infinite dimensional Riemann domains (1987) Math. Ann., 276, pp. 317-322 Mujica, J., Linearization of bounded holomorphic mappings on Banach spaces (1991) Trans. Amer. Math. Soc., 324, pp. 867-887 Mujica, J., Separable quotients of Banach spaces (1997) Rev. Mat. Complut., 10, pp. 299-330 Mujica, J., Ideals of holomorphic functions on Tsirelson's space (2001) Arch. Math. (Basel), 76, pp. 292-298 Mujica, J., Reflexive spaces of homogeneous polynomials (2001) Bull. Polish Acad. Sci. Math., 49, pp. 211-222 Mujica, J., Banach spaces not containing ℓ1 (2003) Ark. Mat., 41, pp. 363-374 Nachbin, L., Topology on Spaces of Holomorphic Mappings (1969), Springer, BerlinNg, K.F., On a theorem of Dixmier (1971) Math. Scand., 29, pp. 279-280 Nissenzweig, A., w* sequential convergence (1975) Israel J. Math., 22, pp. 266-272 Petunin, Y., Savkin, V., Convergence generated by analytic functionals and isomorphisms of algebras of analytic functions (1988) Ukrainian Math. J., 40, pp. 676-679 Rosenthal, H., On quasi-complemented subspaces of Banach spaces. with an appendix on compactness of operators from Lp(μ) to Lr(ν) (1969) J. Funct. Anal., 4, pp. 176-214 Ryan, R., Applications of topological tensor products to infinite dimensional holomorphy (1980), doctoral thesis, Trinity College, DublinSchottenloher, M., Michael problem and algebras of holomorphic functions (1981) Arch. Math. (Basel), 37, pp. 241-247 Szankowski, A., B(H) does not have the approximation property (1981) Acta Math., 147, pp. 89-108 Thorp, E., Whitley, R., Operator representation theorems (1965) Illinois J. Math., 9, pp. 595-601 Thorp, E., Whitley, R., Partially bounded sets of infinite width (1971) J. Reine Angew. Math., 248, pp. 117-122 Tsirelson, B., Not every Banach contains an imbedding of ℓp or c0 (1974) Funct. Anal. Appl., 9, pp. 138-141