Contractions in Von Neumann Algebras
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Gilles Cassier; Thierry Fack
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Article
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1996
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Elsevier Science
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English
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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