Azamov, N ACarey, AlanDodds, PeterSukochev, Fedor A2015-12-082015-12-080008-414Xhttp://hdl.handle.net/1885/36787We present a new and simple approach to the theory of multiple operator integrals that applies to unbounded operators affiliated with general von Neumann algebras. For semifinite von Neumann algebras we give applications to the Fréchet differentiation of200910.4153/CJM-2009-012-02015-12-08