Email this article 2-local derivations on AW*-algebras of type I
- Authors: Ayupov S.1, Arzikulov F.2
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Affiliations:
- Institute of Mathematics
- Andizhan State University
- Issue: Vol 38, No 1 (2017)
- Pages: 148-161
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198804
- DOI: https://doi.org/10.1134/S1995080217010061
- ID: 198804
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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 I2 and a factor of type Im, 2 < m < ∞is proved.
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About the authors
Sh. Ayupov
Institute of Mathematics
Author for correspondence.
Email: sh_ayupov@mail.ru
Uzbekistan, 29 Do’rmon Yo’li str., Tashkent, 100125
F. Arzikulov
Andizhan State University
Email: sh_ayupov@mail.ru
Uzbekistan, 129 Universitetskaya str., Andizhan, 170100
