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Weak-local triple derivations on C*-algebras and JB*-triples

Authors
  • Burgos, M. J.
  • Cabello, J. C.
  • Peralta, A. M.
Type
Preprint
Publication Date
Apr 15, 2016
Submission Date
Apr 15, 2016
Identifiers
arXiv ID: 1604.04417
Source
arXiv
License
Yellow
External links

Abstract

We prove that every weak-local triple derivation on a JB$^*$-triple $E$ (i.e. a linear map $T: E\to E$ such that for each $\phi \in E^*$ and each $a\in E$, there exists a triple derivation $\delta_{a,\phi} : E\to E$, depending on $\phi$ and $a$, such that $\phi T(a) = \phi \delta_{a,\phi} (a)$) is a (continuous) triple derivation.

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