Order bounded elements of topological *-algebras
- Autori: Trapani, C
- Anno di pubblicazione: 2012
- Tipologia: Proceedings
- Parole Chiave: Bounded elements, Topological *-algebras
- OA Link: http://hdl.handle.net/10447/64125
Abstract
Several different notions of {\em bounded} element of a topological *-algebra $\A$ are considered. The case where boundedness is defined via the natural order of $\A$ is examined in more details and it is proved that under certain circumstances (in particular, when $\A$ possesses sufficiently many *-representations) {\em order boundedness} is equivalent to {\em spectral boundedness}.