On discontinuity of the spectral radius in Banach algebras
On domination problem in Banach algebras
On functional representation of locally -pseudoconvex algebras.
On Gelfand-Mazur theorem on a class of F -algebras
A topological algebra A is said to be fundamental if there exists b > 1 such that for every sequence (xn) in A, (xn) is Cauchy whenever the sequence bn(xn − xn-1) tends to zero as n → ∞. Let A be a complex unital fundamental F-algebra with bounded elements such that A* separates the points on A. Then we prove that the spectrum σ(a) of every element a ∈ A is nonempty compact. Moreover, if A is a division algebra, then A is isomorphic to the complex numbers ℂ. This result is a generalization of...
On generalized right modular complemented algebras
On generalized topological divisors of zero
On holomorphy in Banach spaces and absolute convergence of Fourier series
On inductive limits of topological algebras
On innerness of derivations on .
On inverse-closed algebras of infinitely differentiable functions
On JB*-triples defined by fibre bundles.
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 maximal ideals in commutative m-convex algebras
On modules of continuous linear mappings.