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CAMILLO TRAPANI

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}.