COMMUTATIVE SEMIGROUPS OF REAL AND COMPLEX MATRICES

摘要

In this report, sufficient conditions are given for such phenomena to take place;the arguments cover both real and complex matrices, and are not restricted to Hermiston or other special forms. Specifically, it is shown to be sufficient that the outraces in question commute in order to admit a common tvlangulatlon. Several results hold in the case that the matrices in question form a closed and bounded set, rather than only in the finite case.