2-normed Algebras-II
A Characterization of the State Space of Quantum Mechanics
A Holomorphic Characterization of Jordan C*-Algebras.
A note on permanently singular elements in topological algebras
A Note on the Bidual of a JB-Algebra.
An axiomatic approach to joint spectra I
Analytic Structure in the Spectra of Certain uF-Algebras.
Another version of Viday-Palmer's theorem on C*-algebra structure.
Application des ultraproduits à l'étude des espaces et des algèbres de Banach
Applying the density theorem for derivations to range inclusion problems
The problem of when derivations (and their powers) have the range in the Jacobson radical is considered. The proofs are based on the density theorem for derivations.
Approximately partial ternary quadratic derivations on Banach ternary algebras.
Automatic continuity of operational calculi on algebras of differentiable functions
Automorphism Groups of Jordan C*-Algebras.
Automorphisms and derivations on a universally complete complex -algebra.
Banach S-algebras and conditional basic sequences in non-Montel Fréchet spaces
Bemerkungen über elementare Funktionen in nichtarchimedischen Banachalgebren.
Closed operators affiliated with a Banach algebra of operators
Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. If S is a closed operator in X such that (λ - S)^{-1} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.
Contributi all'analisi spettrale algebrica
Convergence of vectorial continued fractions related to the spectral seminorm.
Convexity around the Unit of a Banach Algebra
2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12.We estimate the (midpoint) modulus of convexity at the unit 1 of a Banach algebra A showing that inf {max±||1 ± x|| − 1 : x ∈ A, ||x||=ε} ≥ (π/4e)ε²+o(ε²) as ε → 0. We also give a characterization of two-dimensional subspaces of Banach algebras containing the identity in terms of polynomial inequalities.