Semi-simplicity of a proper weak -algebra.
Sesquilinear and Quadratic Forms on Modules Over *-algebras
Sobre el k.-completando de un módulo de Hilbert
Some Properties of Analytic Maps of Operators in J*-algebras.
Some remarks about the three spaces problem in Banach algebras
Some seminorms on quasi *-algebras
Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.
Spatiality of derivations of Fréchet GB*-algebras
We show that every continuous derivation of a countably dominated Fréchet GB*-algebra A is spatial whenever A is additionally an AO*-algebra.
Spectral States of Commutative L.m.c. Algebras
Spectral well-behaved *-representations
In this brief account we present the way of obtaining unbounded *-representations in terms of the so-called "unbounded" C*-seminorms. Among such *-representations we pick up a special class with "good behaviour" and characterize them through some properties of the Pták function.
States and representations of CQ*-algebras
Sur la continuité automatique des épimorphismes dans les -algèbres de Banach.
Sur la théorie de structure des -algèbres de Jordan non commutatives
Sur un problème de I. Glicksberg : les idéaux fermés de type fini de
Soit , algèbre de convolution des mesures de Radon bornées sur le groupe abélien localement compact . Pour que soit fermé dans (ou, ce qui revient au même, pour que soit fermé), il faut et il suffit que soit la convolution d’une mesure inversible et d’une mesure idempotente.
Survey of some results in spectral theory obtained in Prague
Symmetric Banach *-algebras: invariance of spectrum
Let A be a Banach *-algebra which is a subalgebra of a Banach algebra B. In this paper, assuming that A is symmetric, various conditions are given which imply that A is inverse closed in B.
Ternary Jordan homomorphisms in -ternary algebras.
The algebra of compact operators does not have any finite-codimensional ideal
The Primitive Ideal Space of Solvable Lie Groups.
The Shirali-Ford theorem as a consequence of Ptak theory for hermitian Banach algebras
A simple application of Pták theory for hermitian Banach algebras, combined with a result on normed Q-algebras, gives a non-technical new proof of the Shirali-Ford theorem. A version of this theorem in the setting of non-normed topological algebras is also provided.
The structure of a subclass of amenable Banach algebras.