6533b86efe1ef96bd12cbfd1

RESEARCH PRODUCT

Order bounded elements of topological *-algebras

C. Trapani

subject

Settore MAT/05 - Analisi MatematicaBounded elements Topological *-algebrasGeneral Medicine

description

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}.

http://hdl.handle.net/10447/64125