Iranian Mathematical Society The reverse order law for Moore-Penrose in-verses of operators on Hilbert C*-modules THE REVERSE ORDER LAW FOR MOORE-PENROSE INVERSES OF OPERATORS ON HILBERT C*-MODULES

Author, Sharifi, K Sharifi, B Bonakdar
2016 Bull. Iranian Math. Soc   unpublished
Suppose T and S are bounded adjointable operators between Hilbert C*-modules admitting bounded Moore-Penrose inverse operators. Some necessary and sufficient conditions are given for the reverse order law (T S) † = S † T † to hold. In particular, we show that the equality holds if and only if Ran(T