Non-Hermitian Heisenberg representation

In a way paralleling the recently accepted non-Hermitian version of quantum mechanics in its Schrodinger representation (working often with the innovative and heuristically productive concept of PT-symmetry), it is demonstrated that it is also possible to construct an analogous non-Hermitian version of quantum mechanics in its Heisenberg representation. (C) 2015 Elsevier B.V. All rights reserved.