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2-LOCAL DERIVATIONS ON SEMI-FINITE VON NEUMANN ALGEBRAS

Published online by Cambridge University Press:  25 February 2013

SHAVKAT AYUPOV  and
FARKHAD ARZIKULOV
SHAVKAT AYUPOV
Affiliation:
Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan, and the Abdus Salam International Centre for Theoretical Physics (ICTP) Trieste, Italy e-mail: sh_ayupov@mail.ru
FARKHAD ARZIKULOV
Affiliation:
Institute of Mathematics, National University of Uzbekistan, Tashkent, and Andizhan State University, Andizhan, Uzbekistan e-mail: arzikulovfn@rambler.ru
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Abstract

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In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.

Keywords

Primary 46L57Secondary 46L40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 9 - 12
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

REFERENCES

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