11 citations · 29 across the 15 of their papers we have counts for
5 papers · 1 filter
Additive spectrum preserving mappings from von Neumann algebras
Martin Mathieu, Francois Schulz
We establish Jafarian's 2009 conjecture that every additive spectrum preserving mapping from a von Neumann algebra onto a semisimple Banach algebra is a Jordan isomorphism.
Strictly singular multiplication operators on
Martin Mathieu, Pedro Tradacete
Exploiting several -factorization results for strictly singular operators, we study the strict singularity of the multiplication operator on $\…
More elementary operators that are spectrally bounded
Nadia Boudi, Martin Mathieu
We discuss some necessary and some sufficient conditions for an elementary operator on a Banach algebra to be spectrally bounded. In the case of…
Spectral isometries on non-simple C*-algebras
Martin Mathieu, Ahmed R. Sourour
We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setti…
A Collection of Problems on Spectrally Bounded Operators
Martin Mathieu
We discuss several open problems on spectrally bounded operators, some new, some old, adding in a few new insights.