Weak-2-local *-derivations on B(H) are linear *-derivations

چکیده مقاله

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.