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arxiv: 1505.00770 · v1 · pith:PXIK23VJnew · submitted 2015-05-04 · 🧮 math.FA · math.OA

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

classification 🧮 math.FA math.OA
keywords derivationeverylinearweak-2-localalgebracomplexcontinuousderivations
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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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