How Long to Read Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces

By Joram Lindenstrauss

How Long Does it Take to Read Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces?

It takes the average reader 7 hours and 13 minutes to read Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces by Joram Lindenstrauss

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces?

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces by Joram Lindenstrauss is 425 pages long, and a total of 108,375 words.

This makes it 143% the length of the average book. It also has 132% more words than the average book.

How Long Does it Take to Read Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 52 minutes to read Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces aloud.

What Reading Level is Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces?

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces?

Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces by Joram Lindenstrauss is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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