This is an announcement for the paper "Nigel Kalton and complex interpolation of compact operators" by Michael Cwikel and Richard Rochberg.
Abstract: This is the fourth of a series of papers surveying some small part of the remarkable work of our friend and colleague Nigel Kalton. We have written it as part of a tribute to his memory. It does not contain new results. This time we discuss Nigel's partial solutions (obtained jointly with one of us) of the problem of whether the complex method of interpolation preserves the compactness of operators. This problem is now 51 years old and still lacks a complete solution. We also survey some other partial solutions of this problem, obtained before and after the above mentioned joint work. We plan a technical sequel to this paper, which may contain some small new results and will probably conclude this series devoted to Nigel's research.
Archive classification: math.FA
Mathematics Subject Classification: Primary 46B70
Remarks: 12 pages
Submitted from: mcwikel@math.technion.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1410.4527
or
-
alspach＠math.okstate.edu