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On embeddings of finite subsets of lp

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If you have a question about this talk, please contact Nicolai Baldin.

Our talk will begin by looking at some of the questions one can ask about Banach space theory. These mainly fall in to two categories, local questions and global ones. Results about the global structure of a space can depend solely on the local structure in non-trivial ways, and after a few examples we will talk about the local theory.

One of the most important theorems in the local theory of Banach spaces is Krivine’s theorem: 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 shall consider a metric version of this result, and investigate whether finite subsets of lp can be isometrically embedded into our space.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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