Dissipative motion in state spaces:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Leipzig
Teubner
1981
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| Edition: | 1. Aufl. |
| Series: | Teubner-Texte zur Mathematik
33 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 120 S. |
Staff View
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Record in the Search Index
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| adam_text | Titel: Dissipative motion in state spaces
Autor: Alberti, Peter M
Jahr: 1981
Contents 1. Chapter How to compare finite-dimensional probability vectors and some related more general problems. § 1.1. Notations and definitions 7 § 1.2. How to compare finite discrete probability distributions 11 § 1.3. An example: Heat conduction between n bodies of equal heat capacity 18 § 1.4. Partial ordering m-tupels of vectors 21 § 1.5. Auxiliary constructions 24 § 1.6. Heat conduction between bodies of different heat capacities 28 §1.7. Master equations 33 §1.8. An inverse problem for master equations 38 § 1.9. Comments 41 2. Chapter Stochastic maps in commutative C -algebras § 2.1. Definitions and notations 48 § 2.2. K-functionals 52 § 2.3. The n-tupel problem. Density theorems 54 §2.4. On extremal points of certain convex sets of stochastic maps 58 3. Chapter Stochastic maps and h-convex functionals § 3*1. Properties of h-convex functionals 58 § 3.2. h-convexity and the n-tupel problem 60 § 3«3. An integral representation for the functionals S^ 62 4. Chapter Standard examples § 4.1. Transformations by finite dimensional stochastic matrices 66 5
§ 4.2. The extreme points of some convex sets of stochastic matrices 69 § 4.3. The n-tupel problem with infinite-dimensional stochastic matrices 76 § 4.4. A Doubly stochastic maps acting on L (0,1) 79 5. Chapter 1 Stochastic dynamics in 1 - spaces § 5-1. Definitions. Posing the problem 85 § 5-2. An outline of the results 88 § 5-3. A theorem concerning extensions of dynamical semigroups 90 § 5.4. The existence of dynamical semigroups generating trajectories fulfilling conditions (H) and (R) 94 § 5.5. Further proofs of theorems announced in § 5.2. 97 § 5.6. Another aspect of the condition (H) 102 § 5.7. Remarks 105 § 5.8. Appendix 108 References 113 6
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| any_adam_object | 1 |
| author | Alberti, Peter M. 1947- Uhlmann, Armin |
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| dewey-full | 512.55 515.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 515 - Analysis |
| dewey-raw | 512.55 515.73 |
| dewey-search | 512.55 515.73 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| indexdate | 2024-07-09T16:03:10Z |
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| language | English |
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| physical | 120 S. |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Teubner |
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| series | Teubner-Texte zur Mathematik |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Alberti, Peter M. 1947- Verfasser (DE-588)132881616 aut Dissipative motion in state spaces Peter M. Alberti ; Armin Uhlmann 1. Aufl. Leipzig Teubner 1981 120 S. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik 33 Mappings (Mathematics) Stochastic matrices Transformations (Mathematics) Dissipative Teilchendynamik (DE-588)7611425-9 gnd rswk-swf Zustandsraum (DE-588)4132647-7 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 s Zustandsraum (DE-588)4132647-7 s C-Stern-Algebra (DE-588)4136693-1 s DE-604 Kommutative Algebra (DE-588)4164821-3 s Dissipative Teilchendynamik (DE-588)7611425-9 s Uhlmann, Armin Verfasser aut Teubner-Texte zur Mathematik 33 (DE-604)BV000012607 33 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002318193&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alberti, Peter M. 1947- Uhlmann, Armin Dissipative motion in state spaces Teubner-Texte zur Mathematik Mappings (Mathematics) Stochastic matrices Transformations (Mathematics) Dissipative Teilchendynamik (DE-588)7611425-9 gnd Zustandsraum (DE-588)4132647-7 gnd C-Stern-Algebra (DE-588)4136693-1 gnd Transformation Mathematik (DE-588)4060637-5 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| subject_GND | (DE-588)7611425-9 (DE-588)4132647-7 (DE-588)4136693-1 (DE-588)4060637-5 (DE-588)4164821-3 |
| title | Dissipative motion in state spaces |
| title_auth | Dissipative motion in state spaces |
| title_exact_search | Dissipative motion in state spaces |
| title_full | Dissipative motion in state spaces Peter M. Alberti ; Armin Uhlmann |
| title_fullStr | Dissipative motion in state spaces Peter M. Alberti ; Armin Uhlmann |
| title_full_unstemmed | Dissipative motion in state spaces Peter M. Alberti ; Armin Uhlmann |
| title_short | Dissipative motion in state spaces |
| title_sort | dissipative motion in state spaces |
| topic | Mappings (Mathematics) Stochastic matrices Transformations (Mathematics) Dissipative Teilchendynamik (DE-588)7611425-9 gnd Zustandsraum (DE-588)4132647-7 gnd C-Stern-Algebra (DE-588)4136693-1 gnd Transformation Mathematik (DE-588)4060637-5 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| topic_facet | Mappings (Mathematics) Stochastic matrices Transformations (Mathematics) Dissipative Teilchendynamik Zustandsraum C-Stern-Algebra Transformation Mathematik Kommutative Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002318193&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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