Polynomial properties and symmetric tensor product of Banach spaces

Archiv der Mathematik

Volumn 74, Issue 1, 2000, Pages 40-49

  Bombal, Fernando ^a   Fernández, Maite ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039007675     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000408     Document Type: Article

References (22)

1. R. ALENCAR, R. ARON and S. DINEEN, A reflexive space of holomorphic functions in infinite many variables. Proc. Amer. Math. Soc. 90, 407-411 (1984).
2. P. BISTRÖM, J. A. JARAMILLO and M. LINDSTRÖM, Polynomial compactness in Banach spaces. Rocky Mountain J. Math. 28 (4) (1998).
3. *). Glasgow Math. J. 32, 109-120 (1990).
4. F. BOMBAL, Sobre algunas propiedades de espacios de Banach. Rev. Acad. Ci. Madrid, T. LXXXIV, 83-116 (1990).
5. F. BOMBAL, On Polynomial properties in Banach spaces. Atti Sem. Mat. Fis. Univ. Modena, XLIV, 135-146 (1996).
6. J. M. CASTILLO, R. GARCÍA and R. GONZALO, Spaces in which all multilinear forms are weakly sequentially continuous. To appear.
7. S. DINEEN, A Dvoretsky-Rogers theorem for polynomials. Proc. Amer. Math. Soc. 123, 2817-2821 (1995).
8. ∞. In Functional Analysis. S. Dierolf, S. Dineen and P. Domanski, eds., 119-127, Berlin-New York (1996).
9. J. FARMER and W. B. JOHNSON. Polynomial Schur and Polynomial Dunford-Pettis properties. B. Luh-Lin (ed.). Contemp. Math. 144, 95-105 (1993).
10. J. FARMER, Polynomial Reflexivity in Banach spaces. Israel J. Math 87, 257-273 (1994).
11. M. FERNÁNDEZ, Polynomial Properties in Banach Spaces. Ph. D. Thesis. 1998.
12. M. GONZÁLEZ and J. M. GUTIÉRREZ, Unconditionally converging polynomials on Banach spaces. Math. Proc. Camb. Phil. Soc. 117, 321-331 (1995).
13. M. GONZÁLEZ and J. M. GUTIÉRREZ, Gantmacher type theorems for Holomorphic mappings. Math. Nachr. 186, 131-145 (1997)
14. J. M. GUTIÉRREZ, J. A. JARAMILLO and J. G. LLAVONA, Polynomials and Geometry of Banach Spaces. Extrada Math. 10, No. 2, 79-114 (1995).
15. J. R. HOLUB, Tensor product bases and tensor diagonals. Trans. Amer. Math. Soc. 151, 563-579 (1970).
16. J. A. JARAMILLO, A. PRIETO and I. ZALDUENDO, Sequential convergence and Dunford-Pettis properties. Preprint
17. D. R. LEWIS, Conditional weak compactness in certain inductive tensor products. Math. Ann. 201, 201-209 (1973).
18. J. LINDENSTRAUSS and L. TZAFRIRI, Classical Banach Spaces Vol. I. Berlin-Heidelberg-New York 1977.
19. P. PETHE and N. THAKARE, A note on the Dunford-Pettis property and the Schur property. Indiana Univ. Math. J. 27, 91-92 (1978).
20. R. A. RYAN, Applications of topological tensor products to infinite dimensional holomorphy. Ph. D. Thesis. Trinity College Dublin, 1980.
21. R. A. RYAN, The Dunford Pettis Property and protective tensor products. Bull. Polish Acad. Sci. Math. 35, 785-792 (1987).
22. 1. Proc. Amer. Math. Soc. 84, 44-46 (1982).