Boundedness of completely additive measures with application to 2-local triple derivations
Operator Algebras
2016-03-23 v1 Functional Analysis
Abstract
We prove a Jordan version of Dorofeev's boundedness theorem for completely additive measues and use it to show that every (not necessarily linear nor continuous) 2-local triple derivation on a continuous JBW*-triple is a triple derivation.
Keywords
Cite
@article{arxiv.1512.03135,
title = {Boundedness of completely additive measures with application to 2-local triple derivations},
author = {Jan Hamhalter and Karimbergen Kudaybergenov and Antonio M. Peralta and Bernard Russo},
journal= {arXiv preprint arXiv:1512.03135},
year = {2016}
}
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30 pages