Mathematical Quantization and Operator Spaces

Document Type

Presentation Abstract

Presentation Date

5-6-2004

Abstract

After a brief discussion of quantization in physics, we will discuss the analogous program in mathematics---mathematical quantization. We will then explain how mathematical quantization applied to the theory of Banach spaces leads to the theory of operator spaces. In the second half of the talk, we will discuss three areas of operator space theory to which we have made contributions:

  1. One-sided multipliers and M-ideals of operator spaces.
  2. Algorithms for deciding complete positivity.
  3. Arveson's non-commutative Choquet boundary.

Additional Details

Thursday, 6 May 2004
4:10 p.m. in Math 109

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