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arXiv · 2412.10263

On the three-space property for subprojective and superprojective Banach spaces

Manuel González·Javier Pello
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Abstract

We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective.

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Manuel González, Javier Pello. 2024-12-13. On the three-space property for subprojective and superprojective Banach spaces. https://arxiv.org/abs/2412.10263

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