| Let L be an atomic Boolean subspace lattice in Banach space X and δ a derivation of algL. Then there exists a densely defined operator T on X such that δ(A)=AT-TA holds on the domain D(T) of T for every A∈algL. In addition, if L is finite and L+L' is closed for every atom L of L, then δ is continuous and inner. |
