Department of Mathematics2024-11-0920091594-998210.1393/ncb/i2009-10778-62-s2.0-70450193776http://dx.doi.org/10.1393/ncb/i2009-10778-6https://hdl.handle.net/20.500.14288/9420We give a necessary and sufficient kinematical condition for compound quantum systems provided with alternative inner products to be described in terms of k subsystems. Moreover, we propose some methods to characterize the dynamics ruled by quasi-Hermitian Hamiltonians associated with multipartite compound quantum systems.PhysicsJournal Article2715459000065354