Complemented subspaces of $J$-sums of Banach spaces

Manuel González; Javier Pello

Complemented subspaces of $J$-sums of Banach spaces

Functional Analysis 2023-05-22 v1

Authors: Manuel González , Javier Pello

Abstract

We study the complemented subspaces of the $J$ -sums of Banach spaces $J(\Phi)$ and $\hat J(\Phi)$ introduced by Bellenot. As an application, we show that, under some conditions, $J(\Phi)$ and $\hat J(\Phi)$ are subprojective, i.e., every closed infinite-dimensional subspace of either of them contains a complemented infinite-dimensional subspace.

Keywords

complemented subspaces j-sums of banach spaces subprojective spaces bellenot construction closed infinite-dimensional subspaces

Cite

@article{arxiv.2305.11593,
  title  = {Complemented subspaces of $J$-sums of Banach spaces},
  author = {Manuel González and Javier Pello},
  journal= {arXiv preprint arXiv:2305.11593},
  year   = {2023}
}

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14 pages

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