Adam Bowers, University of California, San Diego, CA
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Description
Absolute Lipschitz retracts Lipschitz extensions and Hilbert spaces Convex subsets and selections Lipschitz classification of Banach spaces Arens-Eells space Differentiation and the isomorphism problem Differentiation and Haar-null sets Property $\Pi (\lambda)$ and embeddings into $c_o$ Local complementation and the Heinrich-Mankiewicz theorem The Lipschitz structure of $c_o$ Ultraproducts of Banach spaces The uniform structure of Banach spaces The unique uniform structure of sequence spaces Uniform embeddings into a Hilbert space Uniform embeddings into reflexive spaces Exercises Afterword (where to from here) Vector integration The Radon-Nikodym property Gaussian measures Notes on closest points Bibliography Index