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Horizonterweiterung. Life is a Story - story.one (German, Hardcover): David Preiss Horizonterweiterung. Life is a Story - story.one (German, Hardcover)
David Preiss
R621 Discovery Miles 6 210 Ships in 10 - 15 working days
Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Paperback): Joram Lindenstrauss,... Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Paperback)
Joram Lindenstrauss, David Preiss, Jaroslav Tiser
R2,896 Discovery Miles 28 960 Ships in 10 - 15 working days

This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet 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 Frechet 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 Frechet 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."

Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Hardcover): Joram Lindenstrauss,... Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Hardcover)
Joram Lindenstrauss, David Preiss, Jaroslav Tiser
R4,925 R4,664 Discovery Miles 46 640 Save R261 (5%) Ships in 12 - 19 working days

This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet 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 Frechet 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 Frechet 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."

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