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arXiv · 1409.5571

2-Local derivations on AW$^*$-algebras of type I

Shavkat Ayupov·Farkhad Arzikulov
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Abstract

It is proved that every 2-local derivation on an AW$^*$-algebra of type I is a derivation. Also an analog of Gleason theorem for signed measures on projections of homogenous AW$^*$-algebras except the cases of an AW$^*$-algebra of type I$_2$ and a factor of type I$_m$, $2<m<\infty$ is proved.

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Shavkat Ayupov, Farkhad Arzikulov. 2014-09-19. 2-Local derivations on AW$^*$-algebras of type I. https://arxiv.org/abs/1409.5571

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