Geodesic
Complemented copies of $\ell_p$ spaces in tensor products
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 319-329 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We give sufficient conditions on Banach spaces $X$ and $Y$ so that their projective tensor product $X\otimes _\pi Y$, their injective tensor product $X\otimes _\epsilon Y$, or the dual $(X\otimes _\pi Y)^*$ contain complemented copies of $\ell _p$.
We give sufficient conditions on Banach spaces $X$ and $Y$ so that their projective tensor product $X\otimes _\pi Y$, their injective tensor product $X\otimes _\epsilon Y$, or the dual $(X\otimes _\pi Y)^*$ contain complemented copies of $\ell _p$.
Classification : 46B20, 46B28
Keywords: $\ell _p$ space; injective and projective tensor product 
@article{CMJ_2007_57_1_a23,
     author = {Cilia, Raffaella and Guti\'errez, Joaqu{\'\i}n M.},
     title = {Complemented copies of $\ell_p$ spaces in tensor products},
     journal = {Czechoslovak Mathematical Journal},
     pages = {319--329},
     year = {2007},
     volume = {57},
     number = {1},
     mrnumber = {2309967},
     zbl = {1174.46009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a23/}
}
TY  - JOUR
AU  - Cilia, Raffaella
AU  - Gutiérrez, Joaquín M.
TI  - Complemented copies of $\ell_p$ spaces in tensor products
JO  - Czechoslovak Mathematical Journal
PY  - 2007
SP  - 319
EP  - 329
VL  - 57
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a23/
LA  - en
ID  - CMJ_2007_57_1_a23
ER  - 
%0 Journal Article
%A Cilia, Raffaella
%A Gutiérrez, Joaquín M.
%T Complemented copies of $\ell_p$ spaces in tensor products
%J Czechoslovak Mathematical Journal
%D 2007
%P 319-329
%V 57
%N 1
%U http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a23/
%G en
%F CMJ_2007_57_1_a23
Cilia, Raffaella; Gutiérrez, Joaquín M. Complemented copies of $\ell_p$ spaces in tensor products. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 319-329. http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a23/