American Institute of Mathematics, Palo Alto, California
Pete Casazza, Richard Kadison, and David Larson
The 1959 Kadison-Singer Problem in C*-algebras has defied the best efforts of some of the most talented mathematicians of our time. Recently it was shown that this problem is equivalent to fundamental unsolved problems in a dozen areas of research in Pure Mathematics, Applied Mathematics and Engineering, including: operator theory, Banach space theory, harmonic analysis, and signal processing.
The specific purpose of this workshop is to bring together some of the top minds in the various areas of research impacted by the Kadison-Singer Problem to see if we can resolve the problem. For more realistic goals, we expect:
The workshop schedule.
A report on the workshop activities.
Kadison-Singer from mathematical physics: an introduction by Palle Jorgensen
State extensions and the Kadison-Singer problem by Akemann and Paulsen.
Paving and the Kadison-Singer problem, by Casazza, Paulsen, and Weiss.
Frames and the Kadison-Singer problem, by Casazza, Kutyniok, Larsen, and Speegle.
Problems on paving and the Kadison-Singer problem
Problems on frames and the Kadison-Singer problem
The paving property for uniformly bounded matrices, by Tropp
The paving conjecture is equivalent to the paving conjecture for triangular matrices by Casazza and Tremain
A decomposition theorem for frames and the Feichtinger conjecture, by Casazza, Kutyniok, Speegle, and Tremain
Projections and the Kadison-Singer problem, by Casazza, Edidin, Kalra, and Paulsen