Fr chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces is popular PDF and ePub book, written by Joram Lindenstrauss in 2012-02-26, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fr chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces can be Read Online from any device for your convenience.
Fr chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces Book PDF Summary
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. The topic is relevant to classical analysis and descriptive set theory on Banach spaces. The book opens several new research directions in this area of geometric nonlinear functional analysis. The new methods developed here include a game approach to perturbational variational principles that is of independent interest. Detailed explanation of the underlying ideas and motivation behind the proofs of the new results on Fréchet differentiability of vector-valued functions should make these arguments accessible to a wider audience. The most important special case of the differentiability results, that Lipschitz mappings from a Hilbert space into the plane have points of Fréchet differentiability, is given its own chapter with a proof that is independent of much of the work done to prove more general results. The book raises several open questions concerning its two main topics.
Detail Book of Fr chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces PDF
- Author : Joram Lindenstrauss
- Release : 26 February 2012
- Publisher : Princeton University Press
- ISBN : 9781400842698
- Genre : Mathematics
- Total Page : 436 pages
- Language : English
- PDF File Size : 15,9 Mb
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