On subspaces of spaces with an unconditional basis and spaces of operators
Feder, Moshe
Illinois J. Math., Tome 24 (1980) no. 4, p. 196-205 / Harvested from Project Euclid
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A reflexive Banach space $E$ has an unconditional finite dimensional expansion of the identity iff $E$ has the approximation property and $E$ is a subspace of a space with an unconditional basis. More results are given in the non-reflexive case. The results are applied to show that the non-complementation of $C(E,F)$ in $L(E,F)$ is equivalent to $C(E,F)\neq L(E,F)$ in certain cases such as: $E$ is reflexive, $E$ or $F$ has the b.a.p, and $F$ is a subspace of a space with an unconditional basis.
Publié le : 1980-06-15
Classification:  46B15,  47D15 
@article{1256047715,
     author = {Feder, Moshe},
     title = {On subspaces of spaces with an unconditional basis and spaces of operators},
     journal = {Illinois J. Math.},
     volume = {24},
     number = {4},
     year = {1980},
     pages = { 196-205},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256047715}
}

Feder, Moshe. On subspaces of spaces with an unconditional basis and spaces of operators. Illinois J. Math., Tome 24 (1980) no. 4, pp.  196-205. http://gdmltest.u-ga.fr/item/1256047715/