
arXiv: 1609.03270
handle: 20.500.11769/317127
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.
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Mathematics - Functional Analysis, FOS: Mathematics, compact operators, Bourgain–Delbaen spaces., Bourgain-Delbaen spaces, compact operators, Functional Analysis (math.FA)
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Mathematics - Functional Analysis, FOS: Mathematics, compact operators, Bourgain–Delbaen spaces., Bourgain-Delbaen spaces, compact operators, Functional Analysis (math.FA)
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