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SUMMARY:On embeddings of finite subsets of lp - James Kilbane
DTSTART:20170607T150000Z
DTEND:20170607T160000Z
UID:TALK72969@talks.cam.ac.uk
CONTACT:Nicolai Baldin
DESCRIPTION:Our talk will begin by looking at some of the questions one ca
 n ask about Banach space theory. These mainly fall in to two categories\, 
 local questions and global ones. Results about the global structure of a s
 pace can depend solely on the local structure in non-trivial ways\, and af
 ter a few examples we will talk about the local theory.\n\nOne of the most
  important theorems in the local theory of Banach spaces is Krivine’s th
 eorem: for any infinite-dimensional Banach space there is some p such that
  the space contains almost isometric copies of l_n^p. In this talk we shal
 l consider a metric version of this result\, and investigate whether finit
 e subsets of lp can be isometrically embedded into our space.
LOCATION:MR14\, Centre for Mathematical Sciences
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