# Innerness of Derivations on Subalgebras of Measurable Operators

Source: [Innerness of Derivations on Subalgebras of Measurable Operators](<https://www.sota2.com/research/paper/68fa4da11e209131ce955c64>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:04.970Z

Authors: Sh. A. Ayupov, K. K. Kudaybergenov

Published: 2007-10-24T14:13:54.000Z

## Abstract

Given a von Neumann algebra $M$ with a faithful normal semi-finite trace $\\tau,$ let $L(M, \\tau)$ be the algebra of all $\\tau$-measurable operators affiliated with $M.$ We prove that if $A$ is a locally convex reflexive complete metrizable solid $\\ast$-subalgebra in $L(M, \\tau),$ which can be embedded into a locally bounded weak Fr\\'{e}chet $M$-bimodule, then any derivation on $A$ is inner.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0710.4478>)

[PDF](<https://arxiv.org/pdf/0710.4478.pdf>)