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arXiv · 2305.11593

Complemented subspaces of $J$-sums of Banach spaces

Manuel González·Javier Pello
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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.

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Manuel González, Javier Pello. 2023-05-19. Complemented subspaces of $J$-sums of Banach spaces. https://arxiv.org/abs/2305.11593

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