Inequalities
Editor
- Michael Loss(Georgia Tech, School of Mathematics)Mary Beth Ruskai(University of Massachusetts Lowell, Department of Mathematics)
Abstract
Individual chapters are listed in the "Chapters" tab
Suggested Citation
DOI: 10.1007/978-3-642-55925-9
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Book Chapters
The following chapters of this book are listed in IDEAS- Michael Loss & Mary Beth Ruskai, 2002. "Commentaries," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 1-29, Springer.
- Elliott Lieb & Daniel Mattis, 2002. "Theory of Ferromagnetism and the Ordering of Electronic Energy Levels," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 33-41, Springer.
- Elliott Lieb & Daniel Mattis, 2002. "Ordering Energy Levels of Interacting Spin Systems," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 43-45, Springer.
- Huzihiro Araki & Elliott H. Lieb, 2002. "Entropy Inequalities," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 47-57, Springer.
- Elliott H. Lieb & Mary Beth Ruskai, 2002. "A Fundamental Property of Quantum-Mechanical Entropy," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 59-61, Springer.
- Elliott H. Lieb & Mary Beth Ruskai, 2002. "Proof of the strong subadditivity of quantum-mechanical entropy," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 63-66, Springer.
- Elliott H. Lieb, 2002. "Some Convexity and Subadditivity Properties of Entropy," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 67-79, Springer.
- Elliott H. Lieb, 2002. "A Refinement of Simon’s Correlation Inequality," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 81-89, Springer.
- Elliott H. Lieb, 2002. "Two Theorems on the Hubbard Model," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 91-94, Springer.
- Elliott H. Lieb & Michael Aizenman, 2002. "Magnetic Properties of Some Itinerant-Electron Systems at T > 0," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 95-98, Springer.
- Elliott H. Lieb, 2002. "Proofs of some Conjectures on Permanents," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 101-108, Springer.
- Elliott H. Lieb, 2002. "Concavity Properties and a Generating Function for Stirling Numbers," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 109-112, Springer.
- Elliott H. Lieb, 2002. "Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 113-134, Springer.
- Elliott H. Lieb & Mary Beth Ruskai, 2002. "Some Operator Inequalities of the Schwarz Type," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 135-139, Springer.
- Elliott H. Lieb, 2002. "Inequalities for Some Operator and Matrix Functions," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 141-145, Springer.
- Michael Aizenman & E. Brian Davies & Elliott H. Lieb, 2002. "Positive Linear Maps which are Order Bounded on C* Subalgebras," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 147-149, Springer.
- Eric A. Carlen & Elliott H. Lieb, 2002. "Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration Inequalities," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 151-170, Springer.
- Keith Ball & Eric A. Carlen & Elliott H. Lieb, 2002. "Sharp uniform convexity and smoothness inequalities for trace norms," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 171-190, Springer.
- Eric A. Carlen & Elliott H. Lieb, 2002. "A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 191-200, Springer.
- Elliott H. Lieb & Walter E. Thirring, 2002. "Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and their Relation to Sobolev Inequalities," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 203-237, Springer.
- Michael Aizenman & Elliott H. Lieb, 2002. "On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 239-241, Springer.
- Elliott H. Lieb, 2002. "The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 243-254, Springer.
- Elliott H. Lieb & Stephen Oxford, 2002. "Improved Lower Bound on the Indirect Coulomb Energy," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 255-267, Springer.
- Elliott H. Lieb, 2002. "Density Functionals for Coulomb Systems," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 269-303, Springer.
- Elliott H. Lieb, 2002. "On Characteristic Exponents in Turbulence," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 305-312, Springer.
- Elliott H. Lieb, 2002. "Baryon Mass Inequalities in Quark Models," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 313-316, Springer.
- Elliott H. Lieb, 2002. "Kinetic Energy Bounds and their Application to the Stability of Matter," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 317-328, Springer.
- Dirk Hundertmark & Elliott H. Lieb & Lawrence E. Thomas, 2002. "A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 329-341, Springer.
- Elliott H. Lieb, 2002. "The Classical Limit of Quantum Spin Systems," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 345-358, Springer.
- Elliott H. Lieb, 2002. "Proof of an Entropy Conjecture of Wehrl," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 359-365, Springer.
- Elliott H. Lieb & Jan Philip Solovej, 2002. "Quantum Coherent Operators: A Generalization of Coherent States," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 367-376, Springer.
- Elliott H. Lieb, 2002. "Coherent States as a Tool for Obtaining Rigorous Bounds," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 377-388, Springer.
- H. J. Brascamp & Elliott H. Lieb & J. M. Luttinger, 2002. "A General Rearrangement Inequality for Multiple Integrals," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 391-401, Springer.
- H. J. Brascamp & E. H. Lieb, 2002. "Some inequalities for Gaussian measures and the long-range order of the one-dimensional plasma," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 403-416, Springer.
- Herm Jan Brascamp & Elliott H. Lieb, 2002. "Best Constants in Young’s Inequality, Its Converse, and Its Generalization to More than Three Functions," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 417-439, Springer.
- Herm Jan Brascamp & Elliott H. Lieb, 2002. "On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 441-464, Springer.
- Elliott H. Lieb, 2002. "Existence and Uniqueness of the Minimizing Solution of Choquard’s Nonlinear Equation," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 465-467, Springer.
- Frederick J. Almgren Jr. & Elliott H. Lieb, 2002. "Symmetric Decreasing Rearrangement Can Be Discontinuous," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 479-482, Springer.
- Frederick J. Almgren Jr. & Elliott H. Lieb, 2002. "The (NON) Continuity of Symmetric Decreasing Rearrangement," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 483-496, Springer.
- Luis A. Caffarelli & David Jerison & Elliott H. Lieb, 2002. "On the Case of Equality in the Brunn-Minkowski Inequality for Capacity," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 497-511, Springer.
- Elliott H. Lieb, 2002. "An L p Bound for the Riesz and Bessel Potentials of Orthonormal Functions," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 515-521, Springer.
- Haïm Brezis & Elliott Lieb, 2002. "A Relation Between Pointwise Convergence of Functions and Convergence of Functionals," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 523-527, Springer.
- Elliott H. Lieb, 2002. "Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 529-554, Springer.
- Elliott H., 2002. "On the lowest eigenvalue of the Laplacian for the intersection of two domains," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 555-562, Springer.
- Haim Brezis & Elliott H. Lieb, 2002. "Minimum Action Solutions of Some Vector Field Equations," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 563-579, Springer.
- HaïM Brezis & Elliott H. Lieb, 2002. "Sobolev Inequalities with Remainder Terms," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 581-594, Springer.
- Elliott H. Lieb, 2002. "Gaussian kernels have only Gaussian maximizers," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 595-624, Springer.
- Elliott H. Lieb, 2002. "Integral bounds for radar ambiguity functions and Wigner distributions," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 625-630, Springer.
- Elliott H. Lieb & Michael Loss & Mary Beth Ruskai, 2002. "Calcul Des Variations. —Estimations d’énergie pour des applications de R3 à," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 633-636, Springer.
- Frederick J. Almgren Jr. & Elliott H. Lieb, 2002. "Singularities Of Energy-Minimizing Maps From The Ball To The Sphere," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 637-639, Springer.
- F. Almgren & W. Browder & E. Lieb, 2002. "Co-Area, Liquid Crystals, and Minimal Surfaces," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 641-662, Springer.
- Frederick J. Almgren Jr. & Elliott H. Lieb, 2002. "Counting Singularities in Liquid Crystals," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 663-678, Springer.
- Elliott H. Lieb & Michael Loss, 2002. "Symmetry of the Ginzburg Landau Minimizer in a Disc," Springer Books, in: Michael Loss & Mary Beth Ruskai (ed.), Inequalities, pages 679-693, Springer.
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