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Products of projections in von Neumann algebras

✍ Scribed by Timur Oikhberg

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 217 KB
Volume: 429
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.04.003

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We associate to any contraction T (and, more generally, to any operator T of class C \ ) in a von Neumann algebra M an operator kernel K : (T) (|:| <1) which allows us to define various kinds of functional calculis for T. When M is finite, we use this kernel to give a short proof of the Fuglede Kadi