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arXiv · 1511.07987

On a generalized Semrl's theorem for weak-2-local derivations on B(H)

Juan Carlos Cabello·Antonio M. Peralta
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Abstract

We prove that, for every complex Hilbert space $H$, every weak-2-local derivation on $B(H)$ or on $K(H)$ is a linear derivation. We also establish that every weak-2-local derivation on an atomic von Neumann algebra or on a compact C$^*$-algebra is a linear derivation.

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Juan Carlos Cabello, Antonio M. Peralta. 2016-02-22. On a generalized Semrl's theorem for weak-2-local derivations on B(H). https://doi.org/10.1215/17358787-0000009x

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