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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
Proceedings of the American Mathematical Societyjournal2017en
ABI

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.

Topics

Advanced Operator Algebra ResearchAdvanced Banach Space TheoryAdvanced Topics in Algebra

Identifiers

DOI
10.1090/proc/13845

Citations and references

Cited by 114 references
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