Preprint

2-local derivations on AW*-algebras of type I

Shavkat AyupovInstitute of Mathematics, National University of Uzbekistan, 29 Do’rmon Yo’li str., Tashkent, 100125, UzbekistanFarhodjon ArzikulovAndizhan State University, 129 Universitetskaya str., Andizhan, 170100, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2017en

ABI

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 I2 and a factor of type Im, 2 < m < ∞is proved.

Topics

Advanced Topics in Algebra Advanced Operator Algebra Research Algebraic structures and combinatorial models

Identifiers

DOI: 10.1134/s1995080217010061

Citations and references

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