Inequalities: selecta of Elliott H. Lieb
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| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York
Springer
2003
|
| Edition: | First edition 2002.Corrected second printing |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010609036&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | IX, 711 Seiten Illustrationen, Diagramme |
| ISBN: | 3540430210 |
Staff View
MARC
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| 100 | 1 | |a Lieb, Elliott H. |d 1932- |0 (DE-588)11899655X |4 aut | |
| 245 | 1 | 0 | |a Inequalities |b selecta of Elliott H. Lieb |c edited by M. Loss and M. B. Ruskai |
| 250 | |a First edition 2002.Corrected second printing | ||
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer |c 2003 | |
| 300 | |a IX, 711 Seiten |b Illustrationen, Diagramme | ||
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Record in the Search Index
| _version_ | 1819363336186232832 |
|---|---|
| adam_text | Contents
Commentaries
Part I. Inequalities Related to Statistical Mechanics
and Condensed Matter
1.
1
Theory of Ferromagnetism and the Ordering of Electronic
Energy Levels (with D.C.
Mattis)
.................. 33
1.2
Ordering Energy Levels of Interacting Spin Systems
(with D.C.
Mattis)
.......................... 43
1.3
Entropy Inequalities (with H.
Araki)
................ 47
1.4
A Fundamental Property of Quantum-Mechanical Entropy
(with M.B. Ruskai)
.......................... 59
1.5
Proof of the Strong Subadditivity of Quantum-Mechanical Entropy
(with M.B. Ruskai)
......................... 63
1.6
Some Convexity and Subadditivity Properties of Entropy
...... 67
1.7
A Refinement of Simon s Correlation Inequality
.......... 81
1.8
Two Theorems on the Hubbard Model
................ 91
1.9
Magnetic Properties of Some Itinerant-Electron Systems at
T
> 0
(with M. Aizenman)
......................... 95
Part
П.
Matrix Inequalities and Combinatorics
II-
1
Proofs of Some Conjectures on
Permanents
.............101
11.2 Concavity Properties and a Generating Function
for Stirling Numbers
.........................109
11.3 Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture
113
II
.4
Some Operator Inequalities of the
Schwarz
Type
(with M.B. Ruskai)
.........................135
H.5 Inequalities for Some Operator and Matrix Functions
........141
II.6 Positive Linear Maps Which Are Order Bounded on C* Subalgebras
(with M. Aizenman and E.B. Davies)
................147
H.7 Optimal Hypercontractivity for Fermi Fields and Related
Non-Commutative Integration Inequalities (with E.
Carlen) .... 151
II.8 Sharp Uniform Convexity and Smoothness Inequalities
for Trace Norms (with K. Ball and E.
Carlen)............171
И.9
A Minkowski Type Trace Inequality and Strong Subadditivity
of Quantum Entropy (with E.
Carlen) ................191
VII
Part III. Inequalities Related to the Stability of Matter
ПІЛ
Inequalities for the Moments of the Eigenvalues of the
Schrödinger
Hamiltonian and Their Relation to Sobolev Inequalities
(with W. Thirring)
..........................203
111.2 On Semi-Classical Bounds for Eigenvalues of
Schrödinger
Operators (with M. Aizenman)
...................239
111.3 The Number of Bound States of One-Body
Schrödinger
Operators
and the Weyl Problem
........................243
111.4 Improved Lower Bound on the Indirect Coulomb Energy
(with S. Oxford)
........................... 255
ІІЇ.5
Density Functionals for Coulomb Systems
.............. 269
111.6 On Characteristic Exponents in Turbulence
............. 305
111.7 Baryon
Mass Inequalities in Quark Models
............. 313
111.8 Kinetic Energy Bounds and Their Application to the Stability
ofMatter
............................... 317
ПІ.9
A Sharp Bound for an Eigenvalue Moment of the One-Dimensional
Schrödinger
Operator (with D.
Hundertmark
and L.E. Thomas)
. . 329
Part IV. Coherent States
IV.
1
The Classical Limit of Quantum Spin Systems
........... 345
IV.2 Proof of an Entropy Conjecture of Wehrl
.............. 359
IV.3 Quantum Coherent Operators: A Generalization of Coherent States
(with J.P.
Sólovej)
.......................... 367
IV.4 Coherent States as a Tool for Obtaining Rigorous Bounds
..... 377
Part V. Brunn-Minkowski Inequality and Rearrangements
V.I A General Rearrangement Inequality for Multiple Integrals
(with HJ. Brascamp and J.M. Luttinger)
..............391
V.2 Some Inequalities for Gaussian Measures and the
Long-Range
Order of the One-Dimensional Plasma (with HJ. Brascamp)
. . . 403
V.3 Best Constants in Young s Inequality, Its Converse and Its
Generalization to More than Three Functions (with HJ. Brascamp)
417
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
(with HJ. Brascamp)
........................441
V.5 Existence and Uniqueness of the Minimizing Solution
of Choquard s Nonlinear Equation
..................465
V.6 Symmetric Decreasing Rearrangement Can Be Discontinuous
(with F.
Almgren)
..........................479
V.7 The
(Non)
Continuity of Symmetric Decreasing Rearrangement
(with F.
Almgren)
..........................483
V.8 On the Case of Equality in the Brunn-Minkowski Inequality
for Capacity (with L. Cafarelli and D. Jerison)
...........497
VIII
Part VI. General Analysis
VI.
1
An V Bound for the Riesz and Bessel Potentials
of
Orthonormal
Functions
......................515
VI.2 A Relation Between Pointwise Convergence of Functions
and Convergence of Functionals (with H. Brezis)
..........523
VI.3 Sharp Constants in the Hardy-Littlewood-Sobolev
and Related Inequalities
.......................529
VI.4 On the Lowest Eigenvalue of the Laplacian for the Intersection
of Two Domains
...........................555
VI.
5
Minimum Action Solutions of Some Vector Field Equations
(with H. Brezis)
............................563
VI.6 Sobolev Inequalities with Remainder Terms (with H. Brezis)
.... 581
VI.7 Gaussian Kernels Have Only Gaussian Maximizers
.........595
VI.
8
Integral Bounds for Radar Ambiguity Functions
and Wigner Distributions
.......................625
Part
VII.
Inequalities Related to Harmonic Maps
VILI
Estimations
d énergie pour des
applications
de R3
à valeurs
dans S2
(with
H. Brezis and J-M. Coron)
..............633
VII.2
Singularities of
Energy
Minimizing Maps from the Ball
to the Sphere (with F.
Almgren)
...................637
VII.3 Co-area, Liquid Crystals, and Minimal Surfaces
(with F.
Almgren
andW. Browder)
.................641
VII.4 Counting Singularities in Liquid Crystals (with F.
Almgren)
.... 663
VII.5 Symmetry of the Ginzburg-Landau Minimizer in a Disc
(with M. Loss)
............................679
Publications of Elliott H.
Lieb........................695
їх
|
| any_adam_object | 1 |
| author | Lieb, Elliott H. 1932- |
| author2 | Loss, Michael 1954- |
| author2_role | edt |
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| author_GND | (DE-588)11899655X (DE-588)172513804 (DE-588)1314021826 |
| author_facet | Lieb, Elliott H. 1932- Loss, Michael 1954- |
| author_role | aut |
| author_sort | Lieb, Elliott H. 1932- |
| author_variant | e h l eh ehl |
| building | Verbundindex |
| bvnumber | BV017638848 |
| callnumber-first | Q - Science |
| callnumber-label | QA295 |
| callnumber-raw | QA295 |
| callnumber-search | QA295 |
| callnumber-sort | QA 3295 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 490 UB 2799 |
| ctrlnum | (OCoLC)49492967 (DE-599)BVBBV017638848 |
| dewey-full | 515/.26 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.26 |
| dewey-search | 515/.26 |
| dewey-sort | 3515 226 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| edition | First edition 2002.Corrected second printing |
| format | Book |
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| genre_facet | Aufsatzsammlung |
| id | DE-604.BV017638848 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T11:21:29Z |
| institution | BVB |
| isbn | 3540430210 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010609036 |
| oclc_num | 49492967 |
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| owner_facet | DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-703 DE-83 DE-188 |
| physical | IX, 711 Seiten Illustrationen, Diagramme |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Lieb, Elliott H. 1932- Inequalities selecta of Elliott H. Lieb Lieb, Elliott H. 1932- (DE-588)11899655X gnd Inequalities (Mathematics) Mathematische Physik (DE-588)4037952-8 gnd Ungleichung (DE-588)4139098-2 gnd Bibliografie (DE-588)4006432-3 gnd |
| subject_GND | (DE-588)11899655X (DE-588)4037952-8 (DE-588)4139098-2 (DE-588)4006432-3 (DE-588)4143413-4 |
| title | Inequalities selecta of Elliott H. Lieb |
| title_auth | Inequalities selecta of Elliott H. Lieb |
| title_exact_search | Inequalities selecta of Elliott H. Lieb |
| title_full | Inequalities selecta of Elliott H. Lieb edited by M. Loss and M. B. Ruskai |
| title_fullStr | Inequalities selecta of Elliott H. Lieb edited by M. Loss and M. B. Ruskai |
| title_full_unstemmed | Inequalities selecta of Elliott H. Lieb edited by M. Loss and M. B. Ruskai |
| title_short | Inequalities |
| title_sort | inequalities selecta of elliott h lieb |
| title_sub | selecta of Elliott H. Lieb |
| topic | Lieb, Elliott H. 1932- (DE-588)11899655X gnd Inequalities (Mathematics) Mathematische Physik (DE-588)4037952-8 gnd Ungleichung (DE-588)4139098-2 gnd Bibliografie (DE-588)4006432-3 gnd |
| topic_facet | Lieb, Elliott H. 1932- Inequalities (Mathematics) Mathematische Physik Ungleichung Bibliografie Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010609036&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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