On Banach *-algebras without the unit
On ideals and quotients of Hermitian algebras
On Jordan *-derivations and an application
On Making Involutive vector spaces into Topological *-Algebras
On the equivalence of Hermitian inner products on topological *-algebras.
On the fundamental inequality in locally multiplicatively convex algebras
On the radical in Hermitian LMC algebras
On the spectral properties of elements of the type exp(ih) in Hermitian Banach algebras
On the spectral radius in locally multiplicatively convex topological algebras
On the uniform boundedness of elements of the type in Hermitian lmc-algebras
On the uniqueness of uniform norms and C*-norms
We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...