### Constructive Thoughts on Operator Algebras

**Bridges, D ***(University of Canterbury)*

Tuesday 24 January 2012, 16:30-17:00

Seminar Room 1, Newton Institute

#### Abstract

Operator algebra theory, in its classical form, is developed in about as nonconstructive a manner as one could imagine: typical existence proofs use contradiction arguments and applications of Zorn's lemma. Finding a viable constructive development of, or perhaps alternative to, operator algebra theory would seem to be a major test of Bishop-style constructive mathematics (or, indeed, of any other approach to extracting the computational content of a classical theory). In my talk I shall present some of the background, some recent progress, and some of the major problems that lie at the very start of such a development.

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