Joram Lindenstrauss's Books

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

By: Joram Lindenstrauss,David Preiss,Jaroslav Tišer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

By: Joram Lindenstrauss,David Preiss,Jaroslav Tišer

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

436

Publisher

Princeton University Press

Published Date

ISBN 10

1400842697

ISBN 13

9781400842698

Geometric Nonlinear Functional Analysis

By: Yoav Benyamini,Joram Lindenstrauss

Write a review Read reviews Take a Quiz Solve Book Puzzle

Geometric Nonlinear Functional Analysis

By: Yoav Benyamini,Joram Lindenstrauss

A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach spaces and of their important subsets in the uniform and Lipschitz categories.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

503

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821808354

ISBN 13

9780821808351

Geometric Nonlinear Functional Analysis

By: Yoav Benyamini,Joram Lindenstrauss

Write a review Read reviews Take a Quiz Solve Book Puzzle

Geometric Nonlinear Functional Analysis

By: Yoav Benyamini,Joram Lindenstrauss

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

503

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821808354

ISBN 13

9780821808351

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

By: Joram Lindenstrauss,David Preiss,Jaroslav Tišer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

By: Joram Lindenstrauss,David Preiss,Jaroslav Tišer

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

436

Publisher

Princeton University Press

Published Date

ISBN 10

1400842697

ISBN 13

9781400842698

Book's by Joram Lindenstrauss

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Geometric Nonlinear Functional Analysis

Geometric Nonlinear Functional Analysis

Geometric Nonlinear Functional Analysis

Geometric Nonlinear Functional Analysis

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

Username

Password

Username

Password

Password again

Birthday

Email