Integral mappings between Banach spaces

Journal of Mathematical Analysis and Applications

Volumn 279, Issue 1, 2003, Pages 56-70

  Villanueva, Ignacio ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Injective tensor product; Integral operators; Multilinear operators; Spaces ofcontinuous functions

Indexed keywords

EID: 0038334589     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00362-1     Document Type: Article

References (14)

1. R. Alencar, Multilinear mappings of nuclear and integral type, Proc. Amer. Math. Soc. 94 (1985) 33-38.
2. mE), Proc. Roy. Irish Acad. 85A (1985) 131-138.
3. F. Bombal, Medidas vectoriales y espacios de funciones continuas, Publicaciones del Departamento de Análisis Matemático, Fac. de Matemáticas, Universidad Complutense de Madrid, 1984.
4. F. Bombai, I. Villanueva, Integral operators on C(K) spaces, J. Math. Anal. Appl., to appear.
5. A. Defant, K. Floret, Tensor Norms and Operator Ideals, in: North-Holland Math. Studies, Vol. 176, 1993.
6. J. Diestel, H. Jarchow, A. Tonge, Absolutely Summing Operators, in: Cambridge Stud. Adv. Math., Vol. 43, Cambridge Univ. Press, Cambridge, 1995.
7. J. Diestel, J.J. Uhl, Vector Measures, in: Mathematical Surveys, Vol. 15, American Mathematical Society, Providence, RI, 1977.
8. T. Figiel, W.B. Johnson, The approximation property does not imply the bounded approximation property, Proc. Amer. Math. Soc. 41 (1973) 197-200.
9. A. Grothendieck, Produits tensoriels topologiques et espaces nucláires, Mem. Amer. Math. Soc. 16 (1955).
10. H.E. Lacey, The Isometric Theory of Classical Banach Spaces, Springer, Berlin, 1974.
11. S.J. Montgomery-Smith, P. Saab, p-Summing operators on injective tensor products of spaces, Proc. Roy. Soc. Edinburgh Sect. A 120 (1992) 283-296.
12. ∞-spaces, Trans. Amer. Math. Soc. 163 (1972) 457-492.
13. W.M. Ruess, C.P. Stegall, Extreme points in duals of operator spaces, Math. Ann. 261 (1982) 535-546.
14. P. Saab, Integral operators on spaces of continuous vector-valued measures, Proc. Amer. Math. Soc. 111 (1991) 1003-1013.