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arxiv: 1609.03270 · v1 · pith:6GN3C4PLnew · submitted 2016-09-12 · 🧮 math.FA

Operators on Bourgain-Delbaen's spaces

classification 🧮 math.FA
keywords bourgain-bourgain-delbaenchoicecompactdelbaeneverymustnumbers
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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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