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Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces [[electronic resource] /] / Joram Lindenstrauss, David Preiss, Jaroslav Tiser
| Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces [[electronic resource] /] / Joram Lindenstrauss, David Preiss, Jaroslav Tiser |
| Autore | Lindenstrauss Joram <1936-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 515/.88 |
| Altri autori (Persone) |
PreissDavid
TišerJaroslav <1957-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Banach spaces
Calculus of variations Functional analysis |
| Soggetto non controllato |
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 |
| ISBN |
1-283-37995-3
9786613379955 1-4008-4269-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter One: Introduction -- Chapter Two: Gâteaux differentiability of Lipschitz functions -- Chapter Three: Smoothness, convexity, porosity, and separable determination -- Chapter Four: ε-Fréchet differentiability -- Chapter Five: Γ-null and Γn-null sets -- Chapter Six: Férchet differentiability except for Γ-null sets -- Chapter Seven: Variational principles -- Chapter Eight: Smoothness and asymptotic smoothness -- Chapter Nine: Preliminaries to main results -- Chapter Ten: Porosity, Γn- and Γ-null sets -- Chapter Eleven: Porosity and ε-Fréchet differentiability -- Chapter Twelve: Fréchet differentiability of real-valued functions -- Chapter Thirteen: Fréchet differentiability of vector-valued functions -- Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps -- Chapter Fifteen: Asymptotic Fréchet differentiability -- Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces -- Bibliography -- Index -- Index of Notation |
| Record Nr. | UNINA-9910789737103321 |
Lindenstrauss Joram <1936->
|
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| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces / / Joram Lindenstrauss, David Preiss, Jaroslav Tiser
| Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces / / Joram Lindenstrauss, David Preiss, Jaroslav Tiser |
| Autore | Lindenstrauss Joram <1936-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 515/.88 |
| Altri autori (Persone) |
PreissDavid
TišerJaroslav <1957-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Banach spaces
Calculus of variations Functional analysis |
| Soggetto non controllato |
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 |
| ISBN |
1-283-37995-3
9786613379955 1-4008-4269-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter One: Introduction -- Chapter Two: Gâteaux differentiability of Lipschitz functions -- Chapter Three: Smoothness, convexity, porosity, and separable determination -- Chapter Four: ε-Fréchet differentiability -- Chapter Five: Γ-null and Γn-null sets -- Chapter Six: Férchet differentiability except for Γ-null sets -- Chapter Seven: Variational principles -- Chapter Eight: Smoothness and asymptotic smoothness -- Chapter Nine: Preliminaries to main results -- Chapter Ten: Porosity, Γn- and Γ-null sets -- Chapter Eleven: Porosity and ε-Fréchet differentiability -- Chapter Twelve: Fréchet differentiability of real-valued functions -- Chapter Thirteen: Fréchet differentiability of vector-valued functions -- Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps -- Chapter Fifteen: Asymptotic Fréchet differentiability -- Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces -- Bibliography -- Index -- Index of Notation |
| Record Nr. | UNINA-9910823398203321 |
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Lindenstrauss Joram <1936->
|
||
| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterative Methods for Solving Nonlinear Equations and Systems
| Iterative Methods for Solving Nonlinear Equations and Systems |
| Autore | Soleymani Fazlollah |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (494 p.) |
| Soggetto non controllato |
Lipschitz condition
heston model rectangular matrices computational efficiency Hull–White order of convergence signal and image processing dynamics divided difference operator engineering applications smooth and nonsmooth operators Newton-HSS method higher order method Moore–Penrose asymptotic error constant multiple roots higher order efficiency index multiple-root finder computational efficiency index Potra–Pták method nonlinear equations system of nonlinear equations purely imaginary extraneous fixed point attractor basin point projection fixed point theorem convex constraints weight function radius of convergence Frédholm integral equation semi-local convergence nonlinear HSS-like method convexity accretive operators Newton-type methods multipoint iterations banach space Kantorovich hypothesis variational inequality problem Newton method semilocal convergence least square problem Fréchet derivative Newton’s method iterative process Newton-like method Banach space sixteenth-order optimal convergence nonlinear systems Chebyshev–Halley-type Jarratt method iteration scheme Newton’s iterative method basins of attraction drazin inverse option pricing higher order of convergence non-linear equation numerical experiment signal processing optimal methods rate of convergence n-dimensional Euclidean space non-differentiable operator projection method Newton’s second order method intersection planar algebraic curve Hilbert space conjugate gradient method sixteenth order convergence method Padé approximation optimal iterative methods error bound high order Fredholm integral equation global convergence iterative method integral equation ?-continuity condition systems of nonlinear equations generalized inverse local convergence iterative methods multi-valued quasi-nonexpasive mappings R-order finite difference (FD) nonlinear operator equation basin of attraction PDE King’s family Steffensen’s method nonlinear monotone equations Picard-HSS method nonlinear models the improved curvature circle algorithm split variational inclusion problem computational order of convergence with memory multipoint iterative methods Kung–Traub conjecture multiple zeros fourth order iterative methods parametric curve optimal order nonlinear equation |
| ISBN | 3-03921-941-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910367739103321 |
|
Soleymani Fazlollah
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser
| Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser |
| Autore | Moser Jurgen |
| Edizione | [With a New foreword by Philip J. Holmes] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (212 pages) : illustrations |
| Disciplina | 521/.1 |
| Collana | Princeton Landmarks in Mathematics and Physics |
| Soggetto topico | Celestial mechanics |
| Soggetto non controllato |
Accuracy and precision
Action-angle coordinates Analytic function Bounded variation Calculation Chaos theory Coefficient Commutator Constant term Continuous embedding Continuous function Coordinate system Countable set Degrees of freedom (statistics) Degrees of freedom Derivative Determinant Differentiable function Differential equation Dimension (vector space) Discrete group Divergent series Divisor Duffing equation Eigenfunction Eigenvalues and eigenvectors Elliptic orbit Energy level Equation Ergodic theory Ergodicity Euclidean space Even and odd functions Existence theorem Existential quantification First-order partial differential equation Forcing function (differential equations) Fréchet derivative Gravitational constant Hamiltonian mechanics Hamiltonian system Hessian matrix Heteroclinic orbit Homoclinic orbit Hyperbolic partial differential equation Hyperbolic set Initial value problem Integer Integrable system Integration by parts Invariant manifold Inverse function Invertible matrix Iteration Jordan curve theorem Klein bottle Lie algebra Linear map Linear subspace Linearization Maxima and minima Monotonic function Newton's method Nonlinear system Normal bundle Normal mode Open set Parameter Partial differential equation Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Poincaré conjecture Polynomial Probability theory Proportionality (mathematics) Quasiperiodic motion Rate of convergence Rational dependence Regular element Root of unity Series expansion Sign (mathematics) Smoothness Special case Stability theory Statistical mechanics Structural stability Symbolic dynamics Symmetric matrix Tangent space Theorem Three-body problem Uniqueness theorem Unitary matrix Variable (mathematics) Variational principle Vector field Zero of a function |
| ISBN | 1-4008-8269-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLES |
| Record Nr. | UNINA-9910164944903321 |
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Moser Jurgen
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson
| Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson |
| Autore | Anderson R. D. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 514 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Topology
Functional analysis Differential topology |
| Soggetto non controllato |
Anderson's theorem
Annihilator (ring theory) Automorphism Baire measure Banach algebra Banach manifold Banach space Bounded operator Cartesian product Characterization (mathematics) Cohomology Compact space Complement (set theory) Complete metric space Connected space Continuous function Convex set Coset Critical point (mathematics) Diagram (category theory) Differentiable manifold Differential topology Dimension (vector space) Dimension Dimensional analysis Dual space Duality (mathematics) Endomorphism Equivalence class Euclidean space Existential quantification Explicit formulae (L-function) Exponential map (Riemannian geometry) Fixed-point theorem Fréchet derivative Fréchet space Fuchsian group Function space Fundamental class Haar measure Hessian matrix Hilbert space Homeomorphism Homology (mathematics) Homotopy group Homotopy Inclusion map Infimum and supremum Lebesgue space Lefschetz fixed-point theorem Limit point Linear space (geometry) Locally convex topological vector space Loop space Mathematical optimization Measure (mathematics) Metric space Module (mathematics) Natural topology Neighbourhood (mathematics) Normal space Normed vector space Open set Ordinal number Paracompact space Partition of unity Path space Product topology Quantifier (logic) Quotient space (linear algebra) Quotient space (topology) Radon measure Reflexive space Representation theorem Riemannian manifold Schauder fixed point theorem Sign (mathematics) Simply connected space Space form Special case Stiefel manifold Strong operator topology Subcategory Submanifold Subset Tangent space Teichmüller space Theorem Topological space Topological vector space Topology Transfinite induction Transfinite Transversal (geometry) Transversality theorem Tychonoff cube Union (set theory) Unit sphere Weak topology Weakly compact |
| ISBN | 1-4008-8140-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES / Bessaga, C. -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES / Bessaga, C. / Kadec, M. I. -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE / Borsuk, Karel -- SOME THIN SETS IN FRÉCHET SPACES / Corson, H. H. -- A REMARK ON BANACH ANALYTIC SPACES / Douady, A. -- FIBRING SPACES OF MAPS / Eells, James -- AN APPROXIMATE MORSE-SARD THEOREM / Eells, James / McAlpin, John -- MORSE THEORY FOR CLOSED CURVES / Eliasson, Halldor I. -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES / Fan, Ky -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES / Geba, Kazimierz / Granas, Andrzej -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER / Glaeser, G. -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S / Granas, Andrzej -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS / Holmes, R. B. -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES / James, Robert C. -- ASYMPTOTIC FIXED POINT THEORY / Jones, G. Stephen -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES / Knill, Ronald J. -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS / Kuiper, Nicolaas H. -- FIXED POINT INDEX AND LEFSCHETZ NUMBER / Leray, Jean -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE / Lindenstrauss, Joram -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE / Rothe, E. H. -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES / Wong, Raymond Y. T. |
| Record Nr. | UNINA-9910154743103321 |
|
Anderson R. D.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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