Fréchet Differentiability Of Lipschitz Functions And Porous Sets In Banach Spaces (am-179)

Thảo luận trong 'Học tập' bởi eb2025, 28/5/2024.

  1. eb2025

    eb2025 Thành viên kỳ cựu

    Tham gia:
    20/5/2024
    Bài viết:
    6,001
    Đã được thích:
    0
    Điểm thành tích:
    86
    Click Here to Download: https://ouo.io/v6x9cx
    [​IMG]
    Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
    By: Joram Lindenstrauss; David Preiss; Jaroslav Tišer
    Publisher:
    Princeton University Press
    Print ISBN: 9780691153551, 0691153558
    eText ISBN: 9781400842698, 1400842697
    Pages: 440
    Copyright year: 2012
    Format: EPUB
    Available from $ 90.00 USD
    SKU 9781400842698
    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.
    Additional ISBNs
    9780691153568, 9780691153551, 0691153566, 0691153558, 9780691153568, 0691153566
     

    Xem thêm các chủ đề tạo bởi eb2025
    Đang tải...


Chia sẻ trang này