English

A supplement to my paper on real and complex operator ideals

Functional Analysis 2016-09-07 v1

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 ZαZ_\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.

Keywords

Cite

@article{arxiv.math/9710203,
  title  = {A supplement to my paper on real and complex operator ideals},
  author = {Joerg Wenzel},
  journal= {arXiv preprint arXiv:math/9710203},
  year   = {2016}
}
R2 v1 2026-07-22T17:57:05.180Z