Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

David Preiss / Jaroslav Tišer / Joram Lindenstrauss

136,24 €
IVA incluido
Disponible
Editorial:
Princeton University Press
Año de edición:
2012
ISBN:
9780691153568
136,24 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Perelló (Valencia)
  • Librería Aciertas (Toledo)
  • El AlmaZen del Alquimista (Sevilla)
  • Librería Elías (Asturias)
  • Librería Kolima (Madrid)
  • Donde los libros
  • Librería Proteo (Málaga)

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.

Artículos relacionados

  • Final Exam Review
    A. A. Frempong / AAFrempong
    Final Exam Review: Calculus 1 & 2 covers the following topics: a note to the student in preparing for exams; differentiation and integration of functions using a guided and an analytical approach. All the normally difficult to understand topics have been made easy to understand, apply and remember. The topics include continuity, limits of functions; proofs; differentiation of f...
    Disponible

    56,42 €

  • The Calculus Gallery
    William Dunham
    More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the daw...
    Disponible

    26,61 €

  • Visual Differential Geometry and Forms
    Tristan Needham
    An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. ...
    Disponible

    184,36 €

  • Visual Differential Geometry and Forms
    Tristan Needham
    An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. ...
    Disponible

    67,64 €

  • Euclid in the Rainforest
    Joseph Mazur
    ...
    Disponible

    22,59 €

  • Difference Equations by Differential Equation Methods
    Peter E. Hydon
    ...
    Disponible

    61,71 €