Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) /

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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 desc...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lindenstrauss, Joram (Autor), Preiss, David (Autor), Tišer, Jaroslav (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2012]
Edición:Course Book
Colección:Annals of Mathematics Studies ; 179
Temas:
Banach spaces.
Calculus of variations.
Functional analysis.
MATHEMATICS / Calculus.
Asplund space.
Banach space.
Borel sets.
Euclidean space.
Frechet differentiability.
Fréchet derivative.
Fréchet differentiability.
Fréchet smooth norm.
Gâteaux derivative.
Gâteaux differentiability.
Hilbert space.
Lipschitz function.
Lipschitz map.
Radon-Nikodým property.
asymptotic uniform smoothness.
asymptotically smooth norm.
asymptotically smooth space.
bump.
completeness.
cone-monotone function.
convex function.
deformation.
derivative.
descriptive set theory.
flat surface.
higher dimensional space.
infinite dimensional space.
irregular behavior.
irregularity point.
linear operators.
low Borel classes.
lower semicontinuity.
mean value estimate.
modulus.
multidimensional mean value.
nonlinear functional analysis.
nonseparable space.
null sets.
perturbation function.
perturbation game.
perturbation.
porosity.
porous sets.
regular behavior.
regular differentiability.
regularity parameter.
renorming.
separable determination.
separable dual.
separable space.
slice.
smooth bump.
subspace.
tensor products.
three-dimensional space.
two-dimensional space.
two-player game.
variational principle.
variational principles.
Γ-null sets.
ε-Fréchet derivative.
ε-Fréchet differentiability.
σ-porous sets.
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