BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maria Stella Adamo (Mathematical Research Institute of Oberwolfach ) DTSTART:20201207T150000Z DTEND:20201207T160000Z DTSTAMP:20260423T035933Z UID:GOBA/11 DESCRIPTION:Title: Th e problem of continuity for representable functionals on Banach quasi *-al gebras\nby Maria Stella Adamo (Mathematical Research Institute of Ober wolfach) as part of Groups\, Operators\, and Banach Algebras Webinar\n\n\n Abstract\nA way to study problems concerning quantum statistical mechanics is to consider locally convex quasi *-algebras\, for which Banach quasi * -algebras constitute a special class. For example\, Banach quasi *-algebra s can be obtained by taking the completion of a *-algebra $A_0$ with respe ct to a norm $|| \\cdot ||$ for which the multiplication is (only) separat ely continuous.\nIn the (locally convex) quasi *-algebras setting\, a rele vant role is played by representable functionals. Roughly speaking\, a lin ear functional will be called representable if it allows a GNS-like constr uction.\n\nIn this talk\, we discuss the problem of continuity for these f unctionals and some related results. We begin our discussion by looking at the properties of representable (and continuous) functionals\, especially in the simplest case of Hilbert quasi *-algebras. This discussion leads n aturally to look at the problem of continuity for these functionals. Hence \, we examine the approaches to study this problem. If time permits\, we w ill discuss some applications.\nThe first part of the talk is joint work w ith C. Trapani. The second part is joint work with M. Fragoulopoulou.\n LOCATION:https://researchseminars.org/talk/GOBA/11/ END:VEVENT END:VCALENDAR