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 completely bounded characterization of operator algebras.
A framework to study commutation problems
A Gelfand-Neumark Theorem for C*-Alternative Algebras.
A local version of the Dauns-Hofmann theorem.
A positivity result and normalization of positive convolution structures.
A proof of the Russo-Dye theorem for -algebras.
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 property for locally convex *-algebras related to property (T) and character amenability
For a locally convex *-algebra A equipped with a fixed continuous *-character ε (which is roughly speaking a generalized F*-algebra), we define a cohomological property, called property (FH), which is similar to character amenability. Let be the space of continuous functions with compact support on a second countable locally compact group G equipped with the convolution *-algebra structure and a certain inductive topology. We show that has property (FH) if and only if G has property (T). On...
A remark on -algebras
A remark on the slice map problem.
A simple characterization of commutative -algebras.
A simple characterization of the trace-class of operators.
Algebra Involutions on the Bidual of a Banach Algebra.
Algèbres involutives à adverse continu
An application of the Sakai's theorem to the characterization of - algebras.
An exotic characterization of a commutative -algebra.