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arXiv · 1609.03270

Operators on Bourgain-Delbaen's spaces

Daniele Puglisi
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Abstract

We prove that, for a suitable choice of real numbers $a, b$, every operator from $\ell_2$ to $X_{a,b}$ and from $X_{a,b}$ to $\ell_2$ must be compact, where $X_{a,b}$ is the Bourgain- Delbaen's space.

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Daniele Puglisi. 2016-09-12. Operators on Bourgain-Delbaen's spaces. https://doi.org/10.2140/memocs.2018.6.61

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