Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

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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 fu...

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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 fu...

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  • Formats: pdf
  • ISBN: 9781400842698
  • Publication Date: 26 Feb 2012
  • Publisher: Princeton University Press
  • Product language: English
  • Drm Setting: DRM