Math 649, Fall 2009

References

• Ron Douglas, Banach algebra techniques in operator theory
• Walter Rudin, Real and complex analysis
• Jacques Dixmier, C*-algebras
• William Arveson, An invitation to C*-algebras
• Ken Davidson, C*-algebras by example
• Richard Kadison and John Ringrose, Fundamentals of the theory of operator algebras, volume 1
• Nils Wegge-Olsen, K-theory and C*-algebras
• Gert Pedersen, C*-algebras and their automorphism groups
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Syllabus

• Hilbert spaces -- homework
  • Rudin, Chapter 4
  • Douglas
  • Kadison-Ringrose, Vol I, 2.1-2.3
• Bounded operators -- homework
  • Douglas
  • Kasidon-Ringrose, Vol I, 2.4
• Spectrum -- homework
• Compact operators -- homework

Who and where?

My office is PSB 401. I am there most of the time, and you are welcome to stop by at your leisure.

The class meets twice every week, Tuesday and Thursday, 12:00 - 1:15 in Keller 414.