COMPLEMENTED COPIES OF [ell ]2 IN SPACES OF INTEGRAL OPERATORS
Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 287-290
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It is shown that, if $E$ and $F$ are Banach spaces containing complemented copies of $\ell_1$, then the space of integral operators ${\mathcal I}(E,F^*)\equiv (E\otimes_\eps F)^*$ contains a complemented copy of $\ell_2$. This answers a question of Félix Cabello and Ricardo García.
GUTIÉRREZ, JOAQUÍN M. COMPLEMENTED COPIES OF [ell ]2 IN SPACES OF INTEGRAL OPERATORS. Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 287-290. doi: 10.1017/S0017089505002491
@article{10_1017_S0017089505002491,
author = {GUTI\'ERREZ, JOAQU\'IN M.},
title = {COMPLEMENTED {COPIES} {OF} [ell ]2 {IN} {SPACES} {OF} {INTEGRAL} {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {287--290},
year = {2005},
volume = {47},
number = {2},
doi = {10.1017/S0017089505002491},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002491/}
}
TY - JOUR AU - GUTIÉRREZ, JOAQUÍN M. TI - COMPLEMENTED COPIES OF [ell ]2 IN SPACES OF INTEGRAL OPERATORS JO - Glasgow mathematical journal PY - 2005 SP - 287 EP - 290 VL - 47 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002491/ DO - 10.1017/S0017089505002491 ID - 10_1017_S0017089505002491 ER -
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