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Fuglede-Putnam theorem for locally measurable operators

A. F. BerFaculty of Mechanics and Mathematics, National University of Uzbekistan, Tash- kent, 100174 UzbekistanVladimir ChilinFaculty of Mechanics and Mathematics, National University of Uzbekistan, Tash- kent, 100174 UzbekistanFedor SukochevSchool of Mathematics and Statistics, University of New South Wales, Kensington, 2052, AustraliaD. ZaninSchool of Mathematics and Statistics, University of New South Wales, Kensington, 2052, Australia
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Аннотация

We extend the Fuglede-Putnam theorem from the algebra $B(H)$ of all bounded operators on the Hilbert space $H$ to the algebra of all locally measurable operators affiliated with a von Neumann algebra.

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