Derivations on ternary rings of operators

Original · EN

To each projection p in a C*-algebra A we associate a family of derivations on A, called p-derivations, and relate them to the space of triple derivations on p A (1-p). We then show that every derivation on a ternary ring of operators is spatial and we investigate whether every such derivation on a weakly closed ternary ring of operators is inner.