On the Dixmier problem (Seminar report after Monod-Ozawa, JFA 2010)
Gilles Pisier
TL;DR
This seminar report provides an accessible, detailed account of Monod and Ozawa's proof regarding the Dixmier unitarizability problem, aiming to clarify complex arguments for nonexperts.
Contribution
It offers a more pedestrian and accessible presentation of Monod and Ozawa's proof on the Dixmier problem, making the results more understandable.
Findings
Proof of the main results on the Dixmier unitarizability problem
Accessible presentation for nonexperts
Potential inclusion in lecture notes
Abstract
This seminar report contains a detailed account of the proof of the main results in Monod and Ozawa's recent JFA paper on the Dixmier unitarizability problem. The proof is exactly identical to their proof, but our more pedestrian presentation is hopefully more accessible to nonexperts. This text is not intended for publication (but it might end up as part of an updated version of our Springer Lecture Notes 1618).
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Geometry · Advanced Topics in Algebra