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Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
Joram Lindenstrauss
€ 284.08
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Description for Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
Hardback. Focuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. Series: Annals of Mathematics Studies. Num Pages: 440 pages. BIC Classification: PBKF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 28. Weight in Grams: 485.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
Princeton University Press United States
Number of pages
440
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
440
Place of Publication
New Jersey, United States
ISBN
9780691153551
SKU
V9780691153551
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Joram Lindenstrauss
Joram Lindenstrauss is professor emeritus of mathematics at the Hebrew University of Jerusalem. David Preiss is professor of mathematics at the University of Warwick. Jaroslav Ti er is associate professor of mathematics at Czech Technical University in Prague.
Reviews for Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
"The book is well written
as one would expect from its distinguished authors, including the late Joram Lindestrauss (1936-2012). It contains many fascinating and profound results. It no doubt will become an important resource for anyone who is seriously interested in the differentiability of functions between Banach spaces."
J. Borwein and Liangjin Yao, Mathematical Reviews Clippings "[T]his is a very deep and ... Read more
as one would expect from its distinguished authors, including the late Joram Lindestrauss (1936-2012). It contains many fascinating and profound results. It no doubt will become an important resource for anyone who is seriously interested in the differentiability of functions between Banach spaces."
J. Borwein and Liangjin Yao, Mathematical Reviews Clippings "[T]his is a very deep and ... Read more