An order-theoretic approach to involutive algebras
Another version of “Exotic characterization of a commutative -algebra”.
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.)
Banach Algebras with Involution.
Banach power - associative algebras : the complex and (or) non commutative cases
Bijectivity of *-Endomorphisms of ...(H) and the Unilateral Shift.
Biweights and -homomorphisms of partial -algebras.
Bounded elements and spectrum in Banach quasi *-algebras
A normal Banach quasi *-algebra (,) has a distinguished Banach *-algebra consisting of bounded elements of . The latter *-algebra is shown to coincide with the set of elements of having finite spectral radius. If the family () of bounded invariant positive sesquilinear forms on contains sufficiently many elements then the Banach *-algebra of bounded elements can be characterized via a C*-seminorm defined by the elements of ().
Bounded structures of uniformly A-convex algebras.
Characterization of an -algebra in terms of a trace.
Characterization of the extremal rays of the cones of positive elements in tensor algebras
Close CSL algebras are similar.
Commutativity theorems for normed *-algebras
Commutators in Banach *-algebras
The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.
Commuting idempotents of an -algebra.
Convex combinations of unitaries in -algebras.
Convolutions of Vector Fields-I.
Crossed Products of Communtation Systems.
C*-seminorms
A necessary and sufficient condition is given for a*-algebra with identity to have a unique maximal C*-seminorm. This generalizes the result, due to Bonsall, that a Banach *-algebra with identity has such a*-seminorm.