Fuglede-Putnam theorem for locally measurable operators

Ber, A.; Chilin, V.; Sukochev, F.; Zanin, D.

doi:10.1090/proc/13845

Fuglede-Putnam theorem for locally measurable operators
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by A. Ber, V. Chilin, F. Sukochev and D. Zanin PDF

Proc. Amer. Math. Soc. 146 (2018), 1681-1692 Request permission

Abstract:

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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