2-local *-automorphisms of B(H) for separable H are *-automorphisms when the two defining equations are compressed into one.
Kuzma, Additive mapping decreasing rank one, Linear Algebra Appl
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On 2-local *-automorphisms and 2-local isometries of B(H)
2-local *-automorphisms of B(H) for separable H are *-automorphisms when the two defining equations are compressed into one.