A short course on operator semigroups:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2006
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | X, 247 Seiten |
| ISBN: | 9780387313412 9781441921741 |
Internformat
MARC
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| 100 | 1 | |a Engel, Klaus-Jochen |0 (DE-588)112783759 |4 aut | |
| 245 | 1 | 0 | |a A short course on operator semigroups |c Klaus-Jochen Engel ; Rainer Nagel |
| 264 | 1 | |a New York, NY |b Springer |c 2006 | |
| 300 | |a X, 247 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 650 | 4 | |a Banach, Espaces de | |
| 650 | 4 | |a Opérateurs linéaires | |
| 650 | 4 | |a Semi-groupes d'opérateurs | |
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Linear operators | |
| 650 | 4 | |a Semigroups of operators | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-014885933 | ||
Datensatz im Suchindex
| _version_ | 1804135488003506176 |
|---|---|
| adam_text | Contents
Preface
I. Introduction
1.
a. Basic Properties
b. Standard Constructions
2.
a. Finite-Dimensional Systems: Matrix Semigroups
b. Uniformly Continuous Operator Semigroups
3.
a. Multiplication Semigroups on Co
b. Multiplication Semigroups on Lp(fi,
c.
II. Semigroups, Generators, and Resolvents
1.
2.
a. Standard Constructions
b. Standard Examples
с
3.
a. Hille-Yosida Theorems
b. The Lumer-Phillips Theorem
с
x
4.
5.
6.
III. Perturbation of Semigroups
1.
2.
IV. Approximation of Semigroups
1.
a. A Technical Tool: Pseudoresolvents
b. The Approximation Theorems
с
2.
V. Spectral Theory and Asymptotics for Semigroups
1.
a. Spectral Theory for Closed Operators
b. Spectral Theory for Generators
2.
a. Examples and Counterexamples
b. Spectral Mapping Theorems for Semigroups
3.
a. Stability Concepts
b. Characterization of Uniform Exponential Stability
с
4.
VI. Positive Semigroups
1.
2.
3.
4.
Appendix
A. A Reminder of Some Functional Analysis
and Operator Theory
References
Selected References to Recent Research
List of Symbols and Abbreviations
Index
|
| adam_txt |
Contents
Preface
I. Introduction
1.
a. Basic Properties
b. Standard Constructions
2.
a. Finite-Dimensional Systems: Matrix Semigroups
b. Uniformly Continuous Operator Semigroups
3.
a. Multiplication Semigroups on Co
b. Multiplication Semigroups on Lp(fi,
c.
II. Semigroups, Generators, and Resolvents
1.
2.
a. Standard Constructions
b. Standard Examples
с
3.
a. Hille-Yosida Theorems
b. The Lumer-Phillips Theorem
с
x
4.
5.
6.
III. Perturbation of Semigroups
1.
2.
IV. Approximation of Semigroups
1.
a. A Technical Tool: Pseudoresolvents
b. The Approximation Theorems
с
2.
V. Spectral Theory and Asymptotics for Semigroups
1.
a. Spectral Theory for Closed Operators
b. Spectral Theory for Generators
2.
a. Examples and Counterexamples
b. Spectral Mapping Theorems for Semigroups
3.
a. Stability Concepts
b. Characterization of Uniform Exponential Stability
с
4.
VI. Positive Semigroups
1.
2.
3.
4.
Appendix
A. A Reminder of Some Functional Analysis
and Operator Theory
References
Selected References to Recent Research
List of Symbols and Abbreviations
Index |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Engel, Klaus-Jochen Nagel, Rainer 1940- |
| author_GND | (DE-588)112783759 (DE-588)141517956 |
| author_facet | Engel, Klaus-Jochen Nagel, Rainer 1940- |
| author_role | aut aut |
| author_sort | Engel, Klaus-Jochen |
| author_variant | k j e kje r n rn |
| building | Verbundindex |
| bvnumber | BV021671574 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.2 |
| callnumber-search | QA329.2 |
| callnumber-sort | QA 3329.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 SK 620 |
| classification_tum | MAT 470f MAT 206f |
| ctrlnum | (OCoLC)70295211 (DE-599)BVBBV021671574 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:08:58Z |
| indexdate | 2024-07-09T20:41:18Z |
| institution | BVB |
| isbn | 9780387313412 9781441921741 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014885933 |
| oclc_num | 70295211 |
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| physical | X, 247 Seiten |
| publishDate | 2006 |
| publishDateSearch | 2006 |
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| publisher | Springer |
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| series2 | Universitext |
| spelling | Engel, Klaus-Jochen (DE-588)112783759 aut A short course on operator semigroups Klaus-Jochen Engel ; Rainer Nagel New York, NY Springer 2006 X, 247 Seiten txt rdacontent n rdamedia nc rdacarrier Universitext Banach, Espaces de Opérateurs linéaires Semi-groupes d'opérateurs Banach spaces Linear operators Semigroups of operators Operatorhalbgruppe (DE-588)4172620-0 gnd rswk-swf Operatorhalbgruppe (DE-588)4172620-0 s DE-604 Nagel, Rainer 1940- (DE-588)141517956 aut Erscheint auch als Online-Ausgabe 978-0-387-36619-7 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2753831&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014885933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Engel, Klaus-Jochen Nagel, Rainer 1940- A short course on operator semigroups Banach, Espaces de Opérateurs linéaires Semi-groupes d'opérateurs Banach spaces Linear operators Semigroups of operators Operatorhalbgruppe (DE-588)4172620-0 gnd |
| subject_GND | (DE-588)4172620-0 |
| title | A short course on operator semigroups |
| title_auth | A short course on operator semigroups |
| title_exact_search | A short course on operator semigroups |
| title_exact_search_txtP | A short course on operator semigroups |
| title_full | A short course on operator semigroups Klaus-Jochen Engel ; Rainer Nagel |
| title_fullStr | A short course on operator semigroups Klaus-Jochen Engel ; Rainer Nagel |
| title_full_unstemmed | A short course on operator semigroups Klaus-Jochen Engel ; Rainer Nagel |
| title_short | A short course on operator semigroups |
| title_sort | a short course on operator semigroups |
| topic | Banach, Espaces de Opérateurs linéaires Semi-groupes d'opérateurs Banach spaces Linear operators Semigroups of operators Operatorhalbgruppe (DE-588)4172620-0 gnd |
| topic_facet | Banach, Espaces de Opérateurs linéaires Semi-groupes d'opérateurs Banach spaces Linear operators Semigroups of operators Operatorhalbgruppe |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2753831&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014885933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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