Add to ORKGThe present paper is devoted to multinormed von Neumann algebras. We pick up basic facts on von Neumann algebras to introduce their locally convex versions. A key construction in this direction is a central topology of a von Neumann algebra. Every multinormed von Neumann algebra can be realized as a local von Neumann algebra on a certain domain in a Hilbert space. It admits the predual (unique up to an isometry), which is an l(1)-normed space. As the main result we describe multinormed L-infinity- algebras which are locally convex analogs of abelian von Neumann algebras
Abstract. Fundamental topological algebras has been introduced to gen-eralize the meaning of locally...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
Abstract. We show that a regular von NeumannQ-m-convex Fréchet algebra is of finite dimension. We a...
In this paper we propose a representation theorem for local operator spaces which extends Ruan's rep...
AbstractIn this paper we propose a representation theorem for local operator spaces which extends Ru...
This note is mainly concerned with locally convex quasi C*-normed *-algebras which arise as completi...
This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its c...
This note is mainly concerned with locally convex quasi C*-normed *-algebras which arise as complet...
In the early 1980's, Alain Connes introduced a morphism between von Neumann algebras in order to def...
If A_0 is a C∗-normed algebra and τ a locally convex topology on A_0 making its multiplication sepa...
AbstractIf A0[‖⋅‖0] is a C∗-normed algebra and τ a locally convex topology on A0 making its multipli...
Throughout this chapter 0 0] denotes a unital C*-algebra and τ a locally convex topology on 0. Let 0...
AbstractNormal state spaces of Jordan and von Neumann algebras are characterized among convex sets. ...
If A_0 is a C 17-normed algebra and \u3c4 a locally convex topology on A_0 making its multiplication...
Abstract. Fundamental topological algebras has been introduced to gen-eralize the meaning of locally...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
Abstract. We show that a regular von NeumannQ-m-convex Fréchet algebra is of finite dimension. We a...
In this paper we propose a representation theorem for local operator spaces which extends Ruan's rep...
AbstractIn this paper we propose a representation theorem for local operator spaces which extends Ru...
This note is mainly concerned with locally convex quasi C*-normed *-algebras which arise as completi...
This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its c...
This note is mainly concerned with locally convex quasi C*-normed *-algebras which arise as complet...
In the early 1980's, Alain Connes introduced a morphism between von Neumann algebras in order to def...
If A_0 is a C∗-normed algebra and τ a locally convex topology on A_0 making its multiplication sepa...
AbstractIf A0[‖⋅‖0] is a C∗-normed algebra and τ a locally convex topology on A0 making its multipli...
Throughout this chapter 0 0] denotes a unital C*-algebra and τ a locally convex topology on 0. Let 0...
AbstractNormal state spaces of Jordan and von Neumann algebras are characterized among convex sets. ...
If A_0 is a C 17-normed algebra and \u3c4 a locally convex topology on A_0 making its multiplication...
Abstract. Fundamental topological algebras has been introduced to gen-eralize the meaning of locally...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...
Consideration of quotient-bounded elements in a locally convex GB*-algebra leads to the study...