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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Duality for Lipschitz p-summing operators

## Duality for Lipschitz p-summing operatorsAdd to your list(s) Download to your calendar using vCal - Chavez-Dominguez, JA (Texas A&M)
- Monday 10 January 2011, 16:30-17:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Analysis A theorem of J. Bourgain states that any finite metric space can be embedded into a Hilbert space with distortion proportional to the logarithm 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 identify the dual of the space of Lipschitz p-summing operators from a fi nite metric space to a normed space, answering a question of Farmer and Johnson. Furthermore, we use it to give a characterization of the non-linear concept of Lipschitz p-summing operator between metric spaces in terms of linear operators between certain Banach spaces. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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