BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Sabre//Sabre VObject 4.5.8//EN
CALSCALE:GREGORIAN
BEGIN:VTIMEZONE
TZID:Europe/Zurich
X-LIC-LOCATION:Europe/Zurich
TZURL:http://tzurl.org/zoneinfo/Europe/Zurich
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:19810329T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:19961027T030000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
UID:news1687@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20240502T134213
DTSTART;TZID=Europe/Zurich:20240524T173000
SUMMARY:BZ Seminar in Analysis: Eric Carlen (Rutgers)
DESCRIPTION:A linear map T from the space of n by n matrices to the space o
 f m by m matrices is a Schwarz map in case T(A^*A) - T(A)^*T(A) is positiv
 e semidefinite. Evidently every such map T is positive\, but not all posit
 ive maps are Schwarz maps. On the other hand\, every quantum Markov map (c
 ompletely positive with T(I) = I) is a Schwarz map but again\, the inclusi
 on is strict.\\r\\nThis talk will present joint work with Mueller-Hermes a
 nd Zhang in which duality is exploited to give simple proofs of known and 
 new  inequalities for Schwarz maps. It will be shown how these yield cele
 brated convexity and concavity theorems\, such as those of Lieb and Epstei
 n as simple corollaries.  The ideas may be applied in a more elaborate op
 erator algebra setting\, but by presenting them in the matrix algebra sett
 ing\, the talk will require no specialized knowledge as background. 
X-ALT-DESC:<p>A linear map T from the space of n by n matrices to the space
  of m by m matrices is a Schwarz map in case T(A^*A) - T(A)^*T(A) is posit
 ive semidefinite. Evidently every such map T is positive\, but not all pos
 itive maps are Schwarz maps. On the other hand\, every quantum Markov map 
 (completely positive with T(I) = I) is a Schwarz map but again\, the inclu
 sion is strict.</p>\n<p>This talk will present joint work with Mueller-Her
 mes and Zhang in which duality is exploited to give simple proofs of known
  and new&nbsp\; inequalities for Schwarz maps. It will be shown how these 
 yield celebrated convexity and concavity theorems\, such as those of Lieb 
 and Epstein as simple corollaries.&nbsp\; The ideas may be applied in a mo
 re elaborate operator algebra setting\, but by presenting them in the matr
 ix algebra setting\, the talk will require no specialized knowledge as bac
 kground.&nbsp\;</p>
DTEND;TZID=Europe/Zurich:20240524T183000
END:VEVENT
END:VCALENDAR