A supplement to my paper on real and complex operator ideals

Details A supplement to my paper on real and complex operator ideals A supplement to my paper on real and complex operator ideals

1997-10-15

arxiv.org/abs/math/9710203v1

Mathematics

Functional Analysis

Scientific paper

We show that the main problem left open in Wenzel: "Real and complex operator ideals" (wenzelopidls.latex), can be solved using the Banach spaces $Z_\alpha$ recently constructed by Kalton: "An elementary example of a Banach space not isomorphic to its complex conjugate" (kaltoncmplxbsp.tex). This gives an example of a complex operator ideal that has no real analogue. It thus shows the richer structure of complex operator ideals compared with the real ones.

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