A supplement to my paper on real and complex operator ideals

1997/10/15 by Wenzel, Joerg
#46B20 #47D50 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/9710203

Abstract

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_α 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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