Inequalities - primeira edição

EAN (ISBN-13): 9783540430216
ISBN (ISBN-10): 3540430210
Livro de capa dura
Ano de publicação: 2002
Editor/Editora: Springer Berlin
711 Páginas
Peso: 1,233 kg

Livro na base de dados desde 2007-06-05T00:51:26+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2023-09-15T08:15:21+01:00 (Lisbon)
Número ISBN/EAN: 9783540430216

Número ISBN - Ortografia alternativa:
3-540-43021-0, 978-3-540-43021-6
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: ruska, lieb loss, loß, elliott
Título do livro: selecta, elliot, elliott, inequalities

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Dados da editora

Autor: Elliott H. Lieb
Título: Inequalities - Selecta of Elliott H. Lieb
Editora: Springer; Springer Berlin
711 Páginas
Ano de publicação: 2002-07-04
Berlin; Heidelberg; DE
Impresso / Feito em
Peso: 2,610 kg
Língua: Inglês
164,99 € (DE)

BB; Functional Analysis; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; Coherent States; Condensed Matter; Harmonic Map; Inequalities; Potential; STATISTICA; Stability of Matter; Statistical Mechanics; distribution; functional analysis; linear optimization; quantum physics; Mathematical Methods in Physics; Quantum Physics; Calculus of Variations and Optimal Control; Optimization; Functional Analysis; Mathematical Methods in Physics; Quantum Physics; Calculus of Variations and Optimization; Mathematische Physik; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); Optimierung; BC; EA

Commentaries.- I. Inequalities Related to Statistical Mechanics and Condensed Matter.- I.1 Theory of Ferromagnetism and the Ordering of Electronic Energy Levels.- I.2 Ordering Energy Levels of Interacting Spin Systems.- I.3 Entropy Inequalities (with H. Araki).- I.4 A Fundamental Property of Quantum-Mechanical Entropy.- I.5 Proof of the Strong Subadditivity of Quantum-Mechanical Entropy.- I.6 Some Convexity and Subadditivity Properties of Entropy.- I.7 A Refinement of Simon’s Correlation Inequality.- I.8 Two Theorems on the Hubbard Model.- I.9 Magnetic Properties of Some Itinerant-Electron Systems at T > 0.- II. Matrix Inequalities and Combinatorics.- II.1 Proofs of Some Conjectures on Permanents.- II.2 Concavity Properties and a Generating Function for Stirling Numbers.- II.3 Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture.- II.4 Some Operator Inequalities of the Schwarz Type.- II.5 Inequalities for Some Operator and Matrix Functions.- II.6 Positive Linear Maps Which Are Order Bounded on C* Subalgebras.- II. 7 Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration Inequalities.- II. 8 Sharp Uniform Convexity and Smoothness Inequalities for Trace Norms.- II.9 A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy.- III. Inequalities Related to the Stability of Matter.- III.1 Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities.- III.2 On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators.- III.3 The Number of Bound States of One-Body Schrödinger Operators and the Weyl Problem.- III.4 Improved Lower Bound on the Indirect Coulomb Energy.- III.5 Density Functionals for Coulomb Systems.- III.6 On Characteristic Exponents in Turbulence.- III.7 Baryon Mass Inequalities in Quark Models.- III.8 Kinetic Energy Bounds and Their Application to the Stability of Matter.- III.9 A Sharp Bound for an Eigenvalue Moment of the One-Dimensional Schrödinger Operator.- IV. Coherent States.- IV.1 The Classical Limit of Quantum Spin Systems.- IV.2 Proof of an Entropy Conjecture of Wehrl.- IV.3 Quantum Coherent Operators: A Generalization of Coherent States.- IV.4 Coherent States as a Tool for Obtaining Rigorous Bounds.- V. Brunn-Minkowski Inequality and Rearrangements.- V.1 A General Rearrangement Inequality for Multiple Integrals.- V.2 Some Inequalities for Gaussian Measures and the Long-Range Order of the One-Dimensional Plasma.- V.3 Best Constants in Young’s Inequality, Its Converse and Its Generalization to More than Three Functions.- V.4 On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions and with an Application to the Diffusion Equation.- V.5 Existence and Uniqueness of the Minimizing Solution of Choquard’s Nonlinear Equation.- V.6 Symmetric Decreasing Rearrangement Can Be Discontinuous.- V.7 The (Non) Continuity of Symmetric Decreasing Rearrangement.- V.8 On the Case of Equality in the Brunn-Minkowski Inequality for Capacity.- VI. General Analysis.- VI.1 An Lp Bound for the Riesz and Bessel Potentials of Orthonormal Functions.- VI.2 A Relation Between Pointwise Convergence of Functions and Convergence of Functionals.- VI.3 Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities.- VI.4 On the Lowest Eigenvalue of the Laplacian for the Intersection of Two Domains.- VI.5 Minimum Action Solutions of Some Vector Field Equations.- VI.6 Sobolev Inequalities with Remainder Terms (with H. Brezis).- VI.7 Gaussian Kernels Have Only Gaussian Maximizers.- VI.8 Integral Bounds for Radar Ambiguity Functions and Wigner Distributions.- VII. Inequalities Related to Harmonic Maps.- VII.1 Estimations d’énergie pour des applications de R3 à valeurs dans S2.- VII.2 Singularities of Energy Minimizing Maps from the Ball to the Sphere.- VII.3 Co-area, Liquid Crystals, and Minimal Surfaces.- VII.4 Counting Singularities in Liquid Crystals (with F. Almgren).- VII.5 Symmetry of the Ginzburg-Landau Minimizer in a Disc.- Publications of Elliott H. Lieb.