Topological partial *-algebras: Basic properties and examples
| dc.creator | Antoine, J. -P. | |
| dc.creator | Bagarello, F. | |
| dc.creator | Trapani, C. | |
| dc.date | 2009-04-06 | |
| dc.date.accessioned | 2026-07-07T13:00:49Z | |
| dc.date.available | 2026-07-07T13:00:49Z | |
| dc.description | Let $A$ be a partial *-algebra endowed with a topology $τ$ that makes it into a locally convex topological vector space $A[τ]$. Then $A$ is called a topological partial *-algebra if it satisfies a number of conditions, which all amount to require that the topology $τ$ 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). | |
| dc.identifier | https://arxiv.org/abs/0904.0894 | |
| dc.identifier | http://arxiv.org/abs/0904.0894 | |
| dc.identifier | Rev. Math. Phys, {\bf 11}, 267-302, (1999) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225960 | |
| dc.subject | Mathematical Physics | |
| dc.title | Topological partial *-algebras: Basic properties and examples | |
| dc.type | text |