2 papers
math.RA2023
A characterization of real matrix semigroups
Benedict Bauer, Stefan Gerhold
We characterize all real matrix semigroups satisfying a mild boundedness assumption, without assuming continuity. Besides the continuous solutions of the semigroup functional equat…
math.CA2023
The Fan-Taussky-Todd inequalities and the Lumer-Phillips theorem
Benedict Bauer, Stefan Gerhold
We argue that a classical inequality due to Fan, Taussky and Todd (1955) is equivalent to the dissipativity of a Jordan block. As the latter can be characterised via the zeros of C…