Quasi-linear functionals determined by weak-2-local $^*$-derivations on $B(H)$
Functional Analysis
2015-05-05 v1 Operator Algebras
Abstract
We prove that, for every separable complex Hilbert space , every weak-2-local -derivation on is a linear -derivation. We also establish that every (non-necessarily linear nor continuous) weak-2-local derivation on a finite dimensional C-algebra is a linear derivation.
Cite
@article{arxiv.1505.00770,
title = {Quasi-linear functionals determined by weak-2-local $^*$-derivations on $B(H)$},
author = {Mohsen Niazi and Antonio M. Peralta},
journal= {arXiv preprint arXiv:1505.00770},
year = {2015}
}