BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dijana Ilišević (University of Zagreb\, Croatia) DTSTART:20251006T150000Z DTEND:20251006T160000Z DTSTAMP:20260423T035734Z UID:ENAAS/136 DESCRIPTION:Title: Spectral properties of isometries of JB*-triples and C*-algebras\nby D ijana Ilišević (University of Zagreb\, Croatia) as part of European Non- Associative Algebra Seminar\n\n\nAbstract\nA JB*-triple is a complex Banac h space with a continuous non-associative triple product that satisfies sp ecific axioms. Any C*-algebra can be seen as a JB*-triple with respect to the triple product defined using the algebra product and the involution. S urjective linear isometries of JB*-triples are closely related to the corr esponding algebraic isomorphisms. The aim of this talk is to recall and co nnect some recent and not so recent results on the structure of surjective isometries of JB*-triples\, specifically C*-algebras\, following a long l ine of work starting with the celebrated Banach-Stone theorem. Attention w ill be focused on periodic isometries\, their eigenprojections and eigenva lues. They will be studied in connection with the following inverse eigenv alue problem for isometries: when is a given finite set of modulus one com plex numbers spectrum of a surjective linear isometry? The necessary condi tions on such a set will be presented.\n LOCATION:https://researchseminars.org/talk/ENAAS/136/ END:VEVENT END:VCALENDAR