Representable and Continuous Functionals on Banach Quasi *-Algebras

Camillo Trapani, Maria Stella Adamo

Risultato della ricerca: Articlepeer review

4 Citazioni (Scopus)


In the study of locally convex quasi *-algebras an important role is played by representable linear functionals, i.e., functionals which allow a GNS-construction. This paper is mainly devoted to the study of the continuity of representable functionals in Banach and Hilbert quasi *-algebras. Some other concepts related to representable functionals (full-representability, *-semisimplicity, etc) are revisited in these special cases. In particular, in the case of Hilbert quasi *-algebras, which are shown to be fully representable, the existence of a 1-1 correspondence between positive, bounded elements (defined in an appropriate way) and continuous representable functionals is proved.
Lingua originaleEnglish
Numero di pagine25
RivistaMediterranean Journal of Mathematics
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2600???


Entra nei temi di ricerca di 'Representable and Continuous Functionals on Banach Quasi *-Algebras'. Insieme formano una fingerprint unica.

Cita questo