A characterization of -algebras.
A characterization of commutators with Hilbert transforms
A characterization of homomorphisms in certain Banach involution algebras
A characterization of maximal regular ideals in lmc algebras
A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
A positivity result and normalization of positive convolution structures.
A properly infinite Banach *-algebra with a non-zero, bounded trace
A properly infinite C*-algebra has no non-zero traces. We construct properly infinite Banach *-algebras with non-zero, bounded traces, and show that there are even such algebras which are fairly "close" to the class of C*-algebras, in the sense that they can be hermitian or *-semisimple.
A remark on -algebras
Algebra Involutions on the Bidual of a Banach Algebra.
An order-theoretic approach to involutive algebras
Applications bi-semi-linéaires et commutativité dans les algèbres de Banach involutives
Applications of harmonic functional calculus in a quotient involutive Banach algebra. (Applications du calcul fonctionnel harmonique dans une algèbre de Banach involutive quotient.)