On an analog of the M.G. Krein theorem for measurable operators

Let M be a von Neumann algebra of operators on a Hilbert space H and τ be a faithful normal semifinite trace on M. Let μt(T), t > 0, be a rearrangement of a τ-measurable operator T. Let us consider a τ-measurable operator A, such that μt(A) > 0 for all t > 0 and assume that μ2t(A) / μt(A) →...

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Bibliographic Details
Main Author: A.M. Bikchentaev
Format: Article
Language:English
Published: Kazan Federal University 2018-06-01
Series:Учёные записки Казанского университета. Серия Физико-математические науки
Subjects:
Online Access:https://kpfu.ru/on-an-analog-of-the-mg-krein-theorem-for-357190.html