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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->
|
||
| 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 |
|
Lindenstrauss Joram <1936->
|
||
| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Logic, computation, hierarchies / / edited by Vasco Brattka, Hannes Diener, Dieter Spreen
| Logic, computation, hierarchies / / edited by Vasco Brattka, Hannes Diener, Dieter Spreen |
| Pubbl/distr/stampa | Boston : , : De Gruyter, , [2014] |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 511.3 |
| Collana | Ontos mathematical logic |
| Soggetto topico |
Logic, Symbolic and mathematical
Algebra, Boolean Quasi-metric spaces Petri nets Set theory |
| Soggetto non controllato |
Computability theory
descriptive set theory non-classical logic |
| ISBN |
1-61451-940-4
1-61451-804-1 |
| Classificazione | CC 2600 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- The life and work of Victor L. Selivanov / Spreen, Dieter -- Tight extensions of T0-quasi-metric spaces / Agyingi, Collins Amburo / Haihambo, Paulus / Künzi, Hans-Peter A. -- On the strongly bounded turing degrees of simple sets / Ambos-Spies, Klaus -- Levels of discontinuity, limit-computability, and jump operators / de Brecht, Matthew -- The wadge hierarchy of Petri Nets ω-languages / Duparc, Jacques / Finkel, Olivier / Ressayre, Jean-Pierre -- Diophantine properties of brownian motion: recursive aspects / Fouché, Willem L. -- The completeness of isomorphism / Sy-David, Friedman -- Complexity issues for Preorders on finite labeled forests / Hertling, Peter / Selivanov, Victor -- Boolean algebras of regular quasi-aperiodic languages / Konovalov, Anton -- A simple indeterminate infinite game / Kopczynski, Eryk / Niwinski, Damian -- Lipschitz and uniformly continuous Reducibilities on Ultrametric polish spaces / Motto Ros, Luca / Schlicht, Philipp -- ON THE EQUIVALENCE OF PARACONSISTENT AND EXPLOSIVE VERSIONS OF NELSON LOGIC / Odintsov, Sergey -- COMPUTING CLEBSCH-GORDAN MATRICES WITH APPLICATIONS IN ELASTICITY THEORY / Selivanova, Svetlana -- AN APPROACH TO DESIGN OF AUTOMATA-BASED AXIOMATIZATION FOR PROPOSITIONAL PROGRAM AND TEMPORAL LOGICS (BY EXAMPLE OF LINEAR TEMPORAL LOGIC) / Shilov, Nikolay V. -- PARTIAL NUMBERINGS AND PRECOMPLETENESS / Spreen, Dieter -- AN ISOMORPHISM THEOREM FOR PARTIAL NUMBERINGS / Spreen, Dieter -- TWO THEOREMS ON THE HAUSDORFF MEASURE OF REGULAR ω-LANGUAGES / Staiger, Ludwig -- SOME NOTES ON THE UNIVERSALITY OF THREE-ORDERS ON FINITE LABELED POSETS / Zhukov, Anton V. -- INDEX |
| Record Nr. | UNINA-9910787095703321 |
| Boston : , : De Gruyter, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Logic, computation, hierarchies / / edited by Vasco Brattka, Hannes Diener, Dieter Spreen
| Logic, computation, hierarchies / / edited by Vasco Brattka, Hannes Diener, Dieter Spreen |
| Pubbl/distr/stampa | Boston : , : De Gruyter, , [2014] |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 511.3 |
| Collana | Ontos mathematical logic |
| Soggetto topico |
Logic, Symbolic and mathematical
Algebra, Boolean Quasi-metric spaces Petri nets Set theory |
| Soggetto non controllato |
Computability theory
descriptive set theory non-classical logic |
| ISBN |
1-61451-940-4
1-61451-804-1 |
| Classificazione | CC 2600 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- The life and work of Victor L. Selivanov / Spreen, Dieter -- Tight extensions of T0-quasi-metric spaces / Agyingi, Collins Amburo / Haihambo, Paulus / Künzi, Hans-Peter A. -- On the strongly bounded turing degrees of simple sets / Ambos-Spies, Klaus -- Levels of discontinuity, limit-computability, and jump operators / de Brecht, Matthew -- The wadge hierarchy of Petri Nets ω-languages / Duparc, Jacques / Finkel, Olivier / Ressayre, Jean-Pierre -- Diophantine properties of brownian motion: recursive aspects / Fouché, Willem L. -- The completeness of isomorphism / Sy-David, Friedman -- Complexity issues for Preorders on finite labeled forests / Hertling, Peter / Selivanov, Victor -- Boolean algebras of regular quasi-aperiodic languages / Konovalov, Anton -- A simple indeterminate infinite game / Kopczynski, Eryk / Niwinski, Damian -- Lipschitz and uniformly continuous Reducibilities on Ultrametric polish spaces / Motto Ros, Luca / Schlicht, Philipp -- ON THE EQUIVALENCE OF PARACONSISTENT AND EXPLOSIVE VERSIONS OF NELSON LOGIC / Odintsov, Sergey -- COMPUTING CLEBSCH-GORDAN MATRICES WITH APPLICATIONS IN ELASTICITY THEORY / Selivanova, Svetlana -- AN APPROACH TO DESIGN OF AUTOMATA-BASED AXIOMATIZATION FOR PROPOSITIONAL PROGRAM AND TEMPORAL LOGICS (BY EXAMPLE OF LINEAR TEMPORAL LOGIC) / Shilov, Nikolay V. -- PARTIAL NUMBERINGS AND PRECOMPLETENESS / Spreen, Dieter -- AN ISOMORPHISM THEOREM FOR PARTIAL NUMBERINGS / Spreen, Dieter -- TWO THEOREMS ON THE HAUSDORFF MEASURE OF REGULAR ω-LANGUAGES / Staiger, Ludwig -- SOME NOTES ON THE UNIVERSALITY OF THREE-ORDERS ON FINITE LABELED POSETS / Zhukov, Anton V. -- INDEX |
| Record Nr. | UNINA-9910824174603321 |
| Boston : , : De Gruyter, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological Groups. Advances, Surveys, and Open Questions
| Topological Groups. Advances, Surveys, and Open Questions |
| Autore | Morris Sidney |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (160 p.) |
| Soggetto non controllato |
coarse structure
descriptive set theory group representation thick set free topological group character selectively sequentially pseudocompact separable topological group quotient group Chabauty topology pseudo-?-bounded topological group free precompact Boolean group right-angled Artin groups Neretin’s group coarse space ultrafilter space endomorphism separable absolutely closed topological group tree strongly pseudocompact Gromov’s compactification dynamical system semigroup compactification tame function compact topological semigroup vast set space of closed subgroups reflexive group Lie group matrix coefficient maximal ideal topological semigroup ballean continuous inverse algebra extension subgroup Thompson’s group scale isomorphic embedding arrow ultrafilter H-space paratopological group pseudocompact Ramsey ultrafilter fibre bundle locally compact group product large set in a group Vietoris topology topological group of compact exponent Bourbaki uniformity p-compact mapping cylinder syndetic set p-adic Lie group Boolean topological group non-trivial convergent sequence fixed point algebra polish group topologies varieties of coarse spaces piecewise syndetic set maximal space |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910346859103321 |
|
Morris Sidney
|
||
| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||