Topological partial *-algebras: Basic properties and examples

Details Topological partial *-algebras: Basic properties and examples Topological partial *-algebras: Basic properties and examples

2009-04-06

arxiv.org/abs/0904.0894v1

Rev. Math. Phys, {\bf 11}, 267-302, (1999)

Physics

Mathematical Physics

Scientific paper

Let $A$ be a partial *-algebra endowed with a topology $\tau$ that makes it into a locally convex topological vector space $A[\tau]$. Then $A$ is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to require that the topology $\tau$ fits with the multiplier structure of $A$ Besides the obvious cases of topological quasi *-algebras and CQ*-algebras, we examine several classes of potential topological partial *-algebras, either function spaces (lattices of $L^p$ spaces on $[0,1]$ or on $\mathbb R$, amalgam spaces), or partial *-algebras of operators (operators on a partial inner product space, O*-algebras).

Affiliated with

Also associated with

No associations

Rating

Topological partial *-algebras: Basic properties and examples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological partial *-algebras: Basic properties and examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological partial *-algebras: Basic properties and examples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133152