Asymptotic $l\sb p$ hereditarily indecomposable Banach spaces
Deliyanni, Irene ; Manoussakis, Antonis
Illinois J. Math., Tome 51 (2007) no. 3, p. 767-803 / Harvested from Project Euclid
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For every $1 < p < \infty$ we construct an asymptotic $\ell_{p}$ Banach space which is hereditarily indecomposable and such that its dual is asymptotic $\ell_{q}$ hereditarily indecomposable, where $q$ is the conjugate of $p$. We prove that $c_{0}$ is finitely representable in these spaces and that every bounded linear operator on these spaces is a strictly singular perturbation of a multiple of the identity.
Publié le : 2007-07-15
Classification:  46B20,  46B03 
@article{1258131102,
     author = {Deliyanni, Irene and Manoussakis, Antonis},
     title = {Asymptotic $l\sb p$ hereditarily indecomposable Banach spaces},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 767-803},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131102}
}

Deliyanni, Irene; Manoussakis, Antonis. Asymptotic $l\sb p$ hereditarily indecomposable Banach spaces. Illinois J. Math., Tome 51 (2007) no. 3, pp.  767-803. http://gdmltest.u-ga.fr/item/1258131102/