Operator Algebras and Related Fields: A Thematic Seminar

This article aims to demonstrate the following: consider V, a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H. Suppose that G, F : V → V are two linear mappings that satisfy some certain functional identities. Then G is a generalized (η, φ)-derivation with associated (η, φ)-derivation F in V, where η and φ are automorphisms in V.