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SUMMARY:Duality for Lipschitz p-summing operators - Chavez-Dominguez\, JA 
 (Texas A&M)
DTSTART:20110110T163000Z
DTEND:20110110T173000Z
UID:TALK28807@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:A theorem of J. Bourgain states that any finite metric space c
 an be embedded into a Hilbert space with distortion proportional to the lo
 garithm of the number of points. In fact Bourgain's embedding has a richer
  structure\, that of a Lipschitz p-summing operator. These operators were 
 introduced by J. Farmer and W. B. Johnson\, and generalize the concept of 
 a linear p-summing operator between Banach spaces . In this talk we identi
 fy the dual of the space of Lipschitz p-summing operators from a fi nite m
 etric space to a normed space\, answering a question of Farmer and Johnson
 . Furthermore\, we use it to give a characterization of the non-linear con
 cept of Lipschitz p-summing operator between metric spaces in terms of lin
 ear operators between certain Banach spaces.\n
LOCATION:Seminar Room 1\, Newton Institute
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