On the dual of a certain operator ideal

Racher, Gerhard

doi:10.1090/S0002-9939-1981-0603597-X

On the dual of a certain operator ideal
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by Gerhard Racher PDF

Proc. Amer. Math. Soc. 82 (1981), 36-38 Request permission

Abstract:

For complex Banach spaces $E$ and $F$ and a real number $1 < p < \infty$ let ${S^p}(E,F)$ denote the operator ideal obtained by complex interpolation between the nuclear and the compact operators. If $E$ and $F$ are reflexive and one of them has the approximation property the dual of ${S^p}(E,F)$ is shown to be ${S^{p’}}(E’,F’)$, $p’$ conjugate to $p$.

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