On innerness of derivations on .
On inverse-closed algebras of infinitely differentiable functions
On joint spectra of operators on a Banach space isomorphic to its square
On joint spectral radii in locally convex algebras
We present several notions of joint spectral radius of mutually commuting elements of a locally convex algebra and prove that all of them yield the same value in case the algebra is pseudo-complete. This generalizes a result proved by the author in 1993 for elements of a Banach algebra.
On Local Uniform Topological Algebras
2000 Mathematics Subject Classification: Primary 46H05, 46H20; Secondary 46M20.Every unital "combinatorially regular" commutative uniform complete locally m-convex algebra is local.
On locally bounded algebras
It is a survey talk concerning locally bounded algebras.
On locally m-convex algebras of type ES
On locally pseudoconvexes square algebras.
Let A be an algebra over the field of complex numbers with a (Hausdorff) topology given by a family Q = {qλ|λ ∈ Λ} of square preserving rλ-homogeneous seminorms (rλ ∈ (0, 1]). We shall show that (A, T(Q)) is a locally m-convex algebra. Furthermore we shall show that A is commutative.
On Making Involutive vector spaces into Topological *-Algebras
On multiplicative linear functionals
On permanently singular elements in commutative m-convex locally convex algebras
On quasi-analytic vectors for some classes of operators
On quasi-multipliers
On quasinilpotent equivalence of finite rank elements in Banach algebras
We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent to maximal finite rank elements.
On quasipositive elements in ordered Banach algebras
Let a real Banach algebra A with unit be ordered by an algebra cone K. We study the elements a ∈ A with exp(ta) ∈ K, t≥ 0.
On rank one and finite elements of Banach algebras
We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.
On rank one elements
Without the "scarcity lemma", two kinds of "rank one elements" are identified in semisimple Banach algebras.
On regularities and Fredholm theory
We investigate the relationship between the regularities and the Fredholm theory in a Banach algebra.
On some inequalities in normed algebras.
On Some Properties of Segal Algebras and Their Multipliers.