Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Bounded semidirect products of topological algebras. (Romanian)
Authors: Bordan V. G.
Abstract
If $A$ is a locally linearly compact algebra, then its dual $A^{\star}$ equipped with the linearly compact-open topology is a topological $(A$, $A)$ - bimodule. We give here necessary and sufficient conditions under which the semidirect product $A \rightthreetimes A^{\star}$ is bounded, i.e. has a local base consisting from ideals.Institutul de Matematică Academia de Ştiiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova
str. Academiei 5, Chişinău, MD-2028 Moldova
Contents
- Global attractors of infinite-dimensional dynamical systems. III. (Russian)
- Bounded semidirect products of topological algebras. (Romanian)
- Topological rings with linearly compact open subrings. (English)
- Two-dimensional point groups of hypercrystallographic $P$-symmetries and their multidimensional applications. (Russian)
- On the convexity of an objective function in some optimization problems on a tree. (Romanian)
- Bounded subsets in some topological rings. (English)
- Torsion theories and dualities in Morita contexts. (English)
- Complete quadratic systems with a dicritical node. (Russian)
- On the number and types of basis comitants of a differential system with fourth-order homogeneous right-hand sides. (Russian)
- On properties, asymptotic with respect to extension, of points of topological transformation semigroups. (Russian)
- The repartition of multiplicity between four infinite singular points of cubic differential system. (English)
- Embedding of a topological group as a quasicomponent into another group in a variety of abelian groups. (Russian)
- Finiteness of eigenvalues of self-adjoint integro-differential operators. (English)
- Affine invariant conditions for topologically distinguishing quadratic systems without finite critical points. (English)
