Readings
Some of the books sitting on my desk that I’ve been planning to read for a long while– the ones most directly relevant to my nebulously envisioned future research:
- Asymptotic Theory of Finite Dimensional Normed Spaces. Milman and Schechtman
- Geometry and Probability in Banach Spaces. Schwartz
- Fundamentals of the Theory of Operator Algebras, Volume I. Kadison and Ringrose
- Operator Spaces. Effros and Ruan
- C*-algebras and Operator Theory. Murphy
- Classical Banach Spaces. Lindenstrauss and Tzafriri
- Introduction to Banach Spaces and Their Geometry. Beauzamy
- Topics in Banach Space Theory. Albiac and Kalton
- Banach Algebra Techniques in Operator Theory. Douglas
- A Short Course on Spectral Theory. Arveson
Anyone interested in studying collaboratively?– my aim is to learn operator theory and the geometry of banach spaces; I’ll be jumping around from book to book, instead of tackling them in their entirety– I’d like to have someone to keep me honest, engaged, and on track (nope, I’m not too good at doing that for myself). By the end of the year, I’d like to have a feel for the big concepts, like type and cotype, the Banach-Mazur distance, operator factorization, and a good handle on some of the big noncommutative inequalities: Khintchine, Gronthendieck, etc.
I’m currently reading (and rereading 
) the first chapter Albiac and Kalton’s book on bases and basic sequences.
Possibly relevant posts:
- Taxi-cab geometry? (9/15/2004)
- Another plot twist (6/17/2008)
- Winter Reading (12/4/2006)