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arXiv · 1505.00770

Quasi-linear functionals determined by weak-2-local $^*$-derivations on $B(H)$

Mohsen Niazi·Antonio M. Peralta
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Abstract

We prove that, for every separable complex Hilbert space $H$, every weak-2-local $^*$-derivation on $B(H)$ 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.

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Mohsen Niazi, Antonio M. Peralta. 2015-05-04. Quasi-linear functionals determined by weak-2-local $^*$-derivations on $B(H)$. https://arxiv.org/abs/1505.00770

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