A note on asymptotically isometric copies of $l^1$ and $c_0$
Pfitzner, Hermann
HAL, hal-00131643 / Harvested from HAL
Text on HAL
Nonreflexive Banach spaces that are complemented in their bidual by an L-projection - like preduals of von Neumann algebras or the Hardy space $H^1$ - contain, roughly speaking, many copies of $l^1$ which are very close to isometric copies. Such $l^1$-copies are known to fail the fixed point property. Similar dual results hold for $c_0$.
Publié le : 2000-07-05
Classification:  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA] 
@article{hal-00131643,
     author = {Pfitzner, Hermann},
     title = {A note on asymptotically isometric copies of $l^1$ and $c\_0$},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00131643}
}

Pfitzner, Hermann. A note on asymptotically isometric copies of $l^1$ and $c_0$. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00131643/