On the complemented subspaces of X_p
Abstract
In this paper we prove some results related to the problem of isomorphically classifying the complemented subspaces of $X_{p}$. We characterize the complemented subspaces of $X_{p}$ which are isomorphic to $X_{p}$ by showing that such a space must contain a canonical complemented subspace isomorphic to $X_{p}.$ We also give some characterizations of complemented subspaces of $X_{p}$ isomorphic to $\ell_{p}\oplus \ell_{2}.$
 Publication:

arXiv Mathematics eprints
 Pub Date:
 July 1990
 arXiv:
 arXiv:math/9201214
 Bibcode:
 1992math......1214A
 Keywords:

 Mathematics  Functional Analysis;
 46B