Types of Radon-Nikodym properties for the projective tensor product of Banach spaces
Bu, Qingying ; Diestel, Joe ; Dowling, Patrick ; Oja, Eve
Illinois J. Math., Tome 47 (2003) no. 4, p. 1303-1326 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let $X$ and $Y$ be Banach spaces such that $X$ has a boundedly complete basis. Then $X\hat{\otimes}Y$, the projective tensor product of $X$ and $Y$, has the Radon-Nikodym property (resp.~the analytic Radon-Nikodym property, the near Radon-Nikodym property, contains no copy of $c_0$) if and only if $Y$ has the same property.
Publié le : 2003-10-15
Classification:  46B22,  46E40,  46M05 
@article{1258138106,
     author = {Bu, Qingying and Diestel, Joe and Dowling, Patrick and Oja, Eve},
     title = {Types of Radon-Nikodym properties for the projective tensor product of Banach spaces},
     journal = {Illinois J. Math.},
     volume = {47},
     number = {4},
     year = {2003},
     pages = { 1303-1326},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138106}
}

Bu, Qingying; Diestel, Joe; Dowling, Patrick; Oja, Eve. Types of Radon-Nikodym properties for the projective tensor product of Banach spaces. Illinois J. Math., Tome 47 (2003) no. 4, pp.  1303-1326. http://gdmltest.u-ga.fr/item/1258138106/