Inequalities : selecta of Elliott H. Lieb

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Inequalities : selecta of Elliott H. Lieb / edited by M. Loss and M.B. Ruskai

資料種別:

図書

出版情報:

Berlin : Springer, c2002

形態:

ix, 711 p. ; 25 cm

著者名:

ISBN:

9783540430216 [3540430210]

書誌ID:

BA57707694

子書誌情報

フルテキスト

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他の版・巻

書誌詳細

注記:

Includes bibliographical references

言語:

英語

目次情報:

Commentaries

Inequalities Related to Statistical Mechanics and Condensed Matter / Part I：

Theory of Ferromagnetism and the Ordering of Electronic Energy Levels / D.C. MattisI.1：

Ordering Energy Levels of Interacting Spin Systems / I.2：

Entropy Inequalities / H. ArakiI.3：

A Fundamental Property of Quantum-Mechanical Entropy / M.B. RuskaiI.4：

Proof of the Strong Subadditivity of Quantum-Mechanical Entropy / I.5：

Some Convexity and Subadditivity Properties of Entropy / I.6：

A Refinement of SimonÃ†s Correlation Inequality / I.7：

Two Theorems on the Hubbard Model / I.8：

Magnetic Properties of Some Itinerant-Electron Systems at T > 0 / M. AizenmanI.9：

Matrix Inequalities and Combinatorics / Part II：

Proofs of Some Conjectures on Permanents / II.1：

Concavity Properties and a Generating Function for Stirling Numbers / II.2：

Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture / II.3：

Some Operator Inequalities of the Schwarz Type / II.4：

Inequalities for Some Operator and Matrix Functions / II.5：

Positive Linear Maps Which Are Order Bounded on C* Subalgebras / E.B. DaviesII.6：

Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration Inequalities / E. CarlenII.7：

Sharp Uniform Convexity and Smoothness Inequalities for Trace Norms / K. BallII.8：

A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy / II.9：

Inequalities Related to the Stability of Matter / Part III：

Inequalities for the Moments of the Eigenvalues of the SchrÃ¶dinger Hamiltonian and Their Relation to Sobolev Inequalities / W. ThirringIII.1：

On Semi-Classical Bounds for Eigenvalues of SchrÃ¶dinger Operators / III.2：

The Number of Bound States of One-Body SchrÃ¶dinger Operators and the Weyl Problem / III.3：

Improved Lower Bound on the Indirect Coulomb Energy / S. OxfordIII.4：

Density Functionals for Coulomb Systems / III.5：

On Characteristic Exponents in Turbulence / III.6：

Baryon Mass Inequalities in Quark Models / III.7：

Kinetic Energy Bounds and Their Application to the Stability of Matter / III.8：

A Sharp Bound for an Eigenvalue Moment of the One-Dimensional SchrÃ¶dinger Operator / D. Hundertmark ; L.E. ThomasIII.9：

Coherent States / Part IV：

The Classical Limit of Quantum Spin Systems / IV.1：

Proof of an Entropy Conjecture of Wehrl / IV.2：

Quantum Coherent Operators: A Generalization of Coherent States / J.P. SolovejIV.3：

Coherent States as a Tool for Obtaining Rigorous Bounds / IV.4：

Brunn-Minkowski Inequality and Rearrangements / Part V：

A General Rearrangement Inequality for Multiple Integrals / H.J. Brascamp ; J.M. LuttingerV.1：

Some Inequalities for Gaussian Measures and the Long-Range Order of the One-Dimensional Plasma / V.2：

Best Constants in YoungÃ†s Inequality, Its Converse and Its Generalization to More than Three Functions / V.3：

On Extensions of the Brunn-Minkowski and PrÃ©kopa-Leindler Theorems, Including Inequalities for Log Concave Functions and with an Application to the Diffusion Equation / V.4：

Existence and Uniqueness of the Minimizing Solution of ChoquardÃ†s Nonlinear Equation / V.5：

Symmetric Decreasing Rearrangement Can Be Discontinuous / F. AlmgrenV.6：

The (Non) Continuity of Symmetric Decreasing Rearrangement / V.7：

On the Case of Equality in the Brunn-Minkowski Inequality for Capacity / L. Cafarelli ; D. JerisonV.8：

General Analysis / Part VI：

An Lp Bound for the Riesz and Bessel Potentials of Orthonormal Functions / VI.1：

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals / H. BrezisVI.2：

Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities / VI.3：

On the Lowest Eigenvalue of the Laplacian for the Intersection of Two Domains / VI.4：

Minimum Action Solutions of Some Vector Field Equations / VI.5：

Sobolev Inequalities with Remainder Terms / VI.6：

Gaussian Kernels Have Only Gaussian Maximizers / VI.7：

Integral Bounds for Radar Ambiguity Functions and Wigner Distributions / VI.8：

Inequalities Related to Harmonic Maps / 11：

Singularities of Energy Minimizing Maps from the Ball to the Sphere / VII.2：

Co-area, Liquid Crystals, and Minimal Surfaces / W. BrowderVII.3：

Counting Singularities in Liquid Crystals / VII.4：

Symmetry of the Ginzburg-Landau Minimizer in a Disc / M. LossVII.5：

Publications of Elliott H. Lieb

Commentaries

Inequalities Related to Statistical Mechanics and Condensed Matter / Part I：

Theory of Ferromagnetism and the Ordering of Electronic Energy Levels / D.C. MattisI.1：

Ordering Energy Levels of Interacting Spin Systems / I.2：

Entropy Inequalities / H. ArakiI.3：

A Fundamental Property of Quantum-Mechanical Entropy / M.B. RuskaiI.4：

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