Abstract
The Kalton-Peck Z2 space is the derived space obtained from the scale of ℓp spaces by complex interpolation at 1/2. If we denote by Z2real the derived space obtained from the scale of ℓp spaces by real interpolation at (1/2,1/2), we show that Z2 is the complexification of Z2real. We also show that Z2real shares the most important properties of Z2: it is isomorphic to its dual, it is singular and contains no complemented copies of ℓ2.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
