Geodesic
Integral multilinear forms on $C(K,X)$ spaces
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 373-378 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We use polymeasures to characterize when a multilinear form defined on a product of $C(K,X)$ spaces is integral.
We use polymeasures to characterize when a multilinear form defined on a product of $C(K,X)$ spaces is integral.
Classification : 46B28, 46G10
Keywords: integral multilinear forms; spaces of continuous functions; injective tensor product 
@article{CMJ_2004_54_2_a8,
     author = {Villanueva, Ignacio},
     title = {Integral multilinear forms on $C(K,X)$ spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {373--378},
     year = {2004},
     volume = {54},
     number = {2},
     mrnumber = {2059257},
     zbl = {1080.46509},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a8/}
}
TY  - JOUR
AU  - Villanueva, Ignacio
TI  - Integral multilinear forms on $C(K,X)$ spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2004
SP  - 373
EP  - 378
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a8/
LA  - en
ID  - CMJ_2004_54_2_a8
ER  - 
%0 Journal Article
%A Villanueva, Ignacio
%T Integral multilinear forms on $C(K,X)$ spaces
%J Czechoslovak Mathematical Journal
%D 2004
%P 373-378
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a8/
%G en
%F CMJ_2004_54_2_a8
Villanueva, Ignacio. Integral multilinear forms on $C(K,X)$ spaces. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 373-378. http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a8/

[1] R. C. Blei: Multilinear measure theory and the Grothendieck factorization theorem. Proc. London Math. Soc. 56 (1988), 529–546. | MR

[2] F. Bombal: Medidas vectoriales y espacios de funciones continuas. Publicaciones del Departamento de Análisis Matemático. Fac. de Matemáticas, Universidad Complutense de Madrid, 1984.

[3] F. Bombal, I. Villanueva: Integral operators on  $C(K)$ spaces. J.  Math. Anal. Appl. 264 (2001), 107–121. | DOI | MR

[4] J. Diestel, J. J. Uhl: Vector Measures. Mathematical Surveys, No.  15. American Math. Soc., Providence, 1977. | MR

[5] N. Dinculeanu: Vector Measures. Pergamon Press, Oxford-New York-Toronto, 1967. | MR

[6] N. Dinculeanu, M. Muthiah: Bimeasures in Banach spaces. Preprint. | MR

[7] I. Dobrakov: On integration in Banach spaces, VIII (polymeasures). Czechoslovak Math.  J. 37 (112) (1987), 487–506. | MR | Zbl

[8] I. Dobrakov: Representation of multilinear operators on $\times C_0 (T_i , X_i )$. I. Atti Sem. Mat. Fis. Univ. Modena XXXIX (1991), 131–138. | MR

[9] B. Jefferies: Radon polymeasures. Bull. Austral. Math. Soc. 32 (1985), 207–215. | DOI | MR | Zbl

[10] B. Jefferies, W. Ricker: Integration with respect to vector valued radon polymeasures. J.  Austral. Math. Soc. (Series  A) 56 (1994), 17–40. | DOI | MR

[11] P. Saab: Integral operators on spaces of continuous vector-valued measures. Proc. Amer. Math. Soc. 111 (1991), 1003–1013. | DOI | MR

[12] I. Villanueva: Multilinear operators in spaces of continuous functions. Czechoslovak Math.  J 54 (129) (2004), 31–54. | DOI | MR