BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Michael Frank (HTWK Leipzig)
DTSTART:20250402T190000Z
DTEND:20250402T200000Z
DTSTAMP:20260420T052726Z
UID:NYC-NCG/191
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/191/
 ">Multiplier modules of Hilbert $C^*$-modules revisited</a>\nby Michael Fr
 ank (HTWK Leipzig) as part of Noncommutative geometry in NYC\n\n\nAbstract
 \nFollowing the approach to multiplier modules of Hilbert $C^*$-modules in
 troduced by D. Bakić and \nB. Guljaš (2003) we reconsider key definition
 s and facts to get deeper insights into related structures. The independen
 t approach by M. Daws (2010) and by A. Buss\, B. Kwaśniewski\, A. McKee\,
  A. Skalski (2024) via Banach $C^*$-modules serves as an alternative point
  of view on which we comment and give facts to interrelate these two theor
 ies. \nThe property of a Hilbert $C^*$-module to be a multiplier $C^*$-mod
 ule is shown to be an invariant with respect to the consideration as a lef
 t or right Hilbert C*-module in the sense of a $C^*$-correspondence in str
 ong Morita equivalence theory. The interrelation of the C*-algebras of "co
 mpact" operators\, the Banach algebras of bounded module operators and the
  Banach spaces of bounded module operators of a Hilbert $C^*$-module to it
 s $C^*$-dual Banach $C^*$-module are characterized for pairs of Hilbert $C
 ^*$-modules and their respective multiplier modules. The structures on the
  latter are always isometrically embedded into the respective structures o
 n the former. Examples for which continuation of these kinds of bounded mo
 dule operators from the initial Hilbert $C^*$-module to its multiplier mod
 ule fails are given\, however existing continuations turn out to be always
  unique. Similarly\, bounded modular functionals from both kinds of Hilber
 t $C^*$-modules to their respective $C^*$-algebras of coefficients are com
 pared\, and eventually existing continuations are shown to be unique.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/191/
END:VEVENT
END:VCALENDAR