Order and convexity in potential theory: H-cones
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1981
|
| Series: | Lecture notes in mathematics
853 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 285 S. |
| ISBN: | 3540106928 0387106928 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
Page
Introduction 1
Terminology and notations 6
1. Resolvents
1.1. Excessive functions with respect
to a resolvent 7
1.2. Resolvents in duality and energy form 23
Exercises 33
2. H-Cones
2.1. Definition and first results 35
2.2. H-morphisms 43
2.3. Dual and bidual of an H-cone 56
Exercises 62
3. H-Cones of functions
3.1. Definition and first results 68
3.2. Balayages 75
3.3. Thinness and base 83
3.4. Harmonic carrier on an H-cone 88
of functions
4. Standard H-Cones
4.1. Weak units, continuous and universally 96
continuous elements
4.2. Standard H-cones, natural topology 104
on the dual
4.3. Standard H-cones of functions 113
4.4. Standard H-cones of excessive functions 123
4.5. The natural topology 141
Exercises 148
IV
5. Potential theory on standard H-Cones
of functions
5.1. Localization 152
5.2. Balayages on standard H-cones of functions 163
5.3. Thinness, essential base and fine topology 171
5.4. Negligible and polar sets 177
5.5. Carrier theory on standard H-cones 184
of functions
5.6. Convergence properties and sheaf properties 202
for standard H-cones
Exercises 223
6. Markov processes associated with a standard
H-Cone of functions
6.1. Sub-Markovian semigroups and Ray semigroups 230
6.2. Ray semigroups and standard H-cones 238
Exercises 243
7. H-Cones on Dirichlet spaces
7.1. Coercive operators and projection theorems 245
7.2. Potentials in Dirichlet spaces 25o
7.3. Balayages operators in Dirichlet spaces 26o
7.4. Autodual H-cones and symmetric 263
Dirichlet spaces
Exercises 274
Bibliography 278
Index 282
Index of symbols 286
|
| any_adam_object | 1 |
| author | Boboc, Nicu Bucur, Gheorghe Cornea, Aurel 1933-2005 |
| author_GND | (DE-588)1062970594 |
| author_facet | Boboc, Nicu Bucur, Gheorghe Cornea, Aurel 1933-2005 |
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| dewey-full | 515.7 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:43:03Z |
| institution | BVB |
| isbn | 3540106928 0387106928 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001489281 |
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| physical | IV, 285 S. |
| publishDate | 1981 |
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| publishDateSort | 1981 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Boboc, Nicu Verfasser aut Order and convexity in potential theory H-cones Nicu Boboc ; Gheorghe Bucur ; Aurel Cornea. In collab. with Herbert Höllein Berlin [u.a.] Springer 1981 IV, 285 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 853 Algèbres convexes Algèbres convexes ram Cône Potentiaaltheorie gtt Potentiel, Théorie du Potentiel, théorie du ram Cone Convex domains Potential theory (Mathematics) Konvexität (DE-588)4114284-6 gnd rswk-swf Kegel (DE-588)4163534-6 gnd rswk-swf Ordnung Mathematik (DE-588)4043745-0 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 s Ordnung Mathematik (DE-588)4043745-0 s Konvexität (DE-588)4114284-6 s Kegel (DE-588)4163534-6 s DE-604 Bucur, Gheorghe Verfasser aut Cornea, Aurel 1933-2005 Verfasser (DE-588)1062970594 aut Lecture notes in mathematics 853 (DE-604)BV000676446 853 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001489281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Boboc, Nicu Bucur, Gheorghe Cornea, Aurel 1933-2005 Order and convexity in potential theory H-cones Lecture notes in mathematics Algèbres convexes Algèbres convexes ram Cône Potentiaaltheorie gtt Potentiel, Théorie du Potentiel, théorie du ram Cone Convex domains Potential theory (Mathematics) Konvexität (DE-588)4114284-6 gnd Kegel (DE-588)4163534-6 gnd Ordnung Mathematik (DE-588)4043745-0 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| subject_GND | (DE-588)4114284-6 (DE-588)4163534-6 (DE-588)4043745-0 (DE-588)4046939-6 |
| title | Order and convexity in potential theory H-cones |
| title_auth | Order and convexity in potential theory H-cones |
| title_exact_search | Order and convexity in potential theory H-cones |
| title_full | Order and convexity in potential theory H-cones Nicu Boboc ; Gheorghe Bucur ; Aurel Cornea. In collab. with Herbert Höllein |
| title_fullStr | Order and convexity in potential theory H-cones Nicu Boboc ; Gheorghe Bucur ; Aurel Cornea. In collab. with Herbert Höllein |
| title_full_unstemmed | Order and convexity in potential theory H-cones Nicu Boboc ; Gheorghe Bucur ; Aurel Cornea. In collab. with Herbert Höllein |
| title_short | Order and convexity in potential theory |
| title_sort | order and convexity in potential theory h cones |
| title_sub | H-cones |
| topic | Algèbres convexes Algèbres convexes ram Cône Potentiaaltheorie gtt Potentiel, Théorie du Potentiel, théorie du ram Cone Convex domains Potential theory (Mathematics) Konvexität (DE-588)4114284-6 gnd Kegel (DE-588)4163534-6 gnd Ordnung Mathematik (DE-588)4043745-0 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| topic_facet | Algèbres convexes Cône Potentiaaltheorie Potentiel, Théorie du Potentiel, théorie du Cone Convex domains Potential theory (Mathematics) Konvexität Kegel Ordnung Mathematik Potenzialtheorie |
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