On the complemented subspaces of X_p

Dale E. Alspach

On the complemented subspaces of X_p

泛函分析 2008-02-03 v1

作者: Dale E. Alspach

摘要

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 $\ell_{p}\oplus \ell_{2}.$

关键词

general topology topological spaces

引用

@article{arxiv.math/9201214,
  title  = {On the complemented subspaces of X_p},
  author = {Dale E. Alspach},
  journal= {arXiv preprint arXiv:math/9201214},
  year   = {2008}
}

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