Add to ORKGsummary:By definition a totally convex algebra $A$ is a totally convex space $|A|$ equipped with an associative multiplication, i.e\. a morphism $\mu :|A|\otimes |A|\longrightarrow |A|$ of totally convex spaces. In this paper we introduce, for such algebras, the notions of ideal, tensor product, unitization, inverses, weak inverses, quasi-inverses, weak quasi-inverses and the spectrum of an element and investigate them in detail. This leads to a considerable generalization of the corresponding notions and results in the theory of Banach spaces
There are examples of C*-algebras A that accept a locally convex *-topology τ coarser than the given...
summary:Effect algebras have important applications in the foundations of quantum mechanics and in f...
The following problems are investigated: (1) The existence of well-behaved *-representations ...
summary:By definition a totally convex algebra $A$ is a totally convex space $|A|$ equipped with an ...
We discuss two facets of the interaction between geometry and algebra in Banach algebras. In the cla...
AbstractAbsolutely or totally convex modules are a canonical generalization of absolutely or countab...
Generalizamos algunos de los resultados conocidos sobre las C*-algebras al caso de una *-algebra loc...
AMS subject classification: 52A01, 13C99.The algebraic properties of the convex bodies are studied. ...
This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its c...
Throughout this chapter 0 0] denotes a unital C*-algebra and τ a locally convex topology on 0. Let 0...
ABSTRACT. We deal with the representation of locally convex algebras. On one hand as “suhalgebras ” ...
Motivated by the notion of a topological group, which is the semidirect product of a normal subgroup...
summary:For a pseudo $MV$-algebra $\mathcal A$ we denote by $\ell (\mathcal A)$ the underlying latt...
summary:In this paper we apply the notion of the product $MV$-algebra in accordance with the definit...
We survey the connection between two results from rather different areas: failure of the 3-space pro...
There are examples of C*-algebras A that accept a locally convex *-topology τ coarser than the given...
summary:Effect algebras have important applications in the foundations of quantum mechanics and in f...
The following problems are investigated: (1) The existence of well-behaved *-representations ...
summary:By definition a totally convex algebra $A$ is a totally convex space $|A|$ equipped with an ...
We discuss two facets of the interaction between geometry and algebra in Banach algebras. In the cla...
AbstractAbsolutely or totally convex modules are a canonical generalization of absolutely or countab...
Generalizamos algunos de los resultados conocidos sobre las C*-algebras al caso de una *-algebra loc...
AMS subject classification: 52A01, 13C99.The algebraic properties of the convex bodies are studied. ...
This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its c...
Throughout this chapter 0 0] denotes a unital C*-algebra and τ a locally convex topology on 0. Let 0...
ABSTRACT. We deal with the representation of locally convex algebras. On one hand as “suhalgebras ” ...
Motivated by the notion of a topological group, which is the semidirect product of a normal subgroup...
summary:For a pseudo $MV$-algebra $\mathcal A$ we denote by $\ell (\mathcal A)$ the underlying latt...
summary:In this paper we apply the notion of the product $MV$-algebra in accordance with the definit...
We survey the connection between two results from rather different areas: failure of the 3-space pro...
There are examples of C*-algebras A that accept a locally convex *-topology τ coarser than the given...
summary:Effect algebras have important applications in the foundations of quantum mechanics and in f...
The following problems are investigated: (1) The existence of well-behaved *-representations ...