A short course on operator semigroups
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Format: | Buch |
Sprache: | English |
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New York, NY
Springer
2006
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Schriftenreihe: | Universitext
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LEADER | 00000nam a2200000 c 4500 | ||
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020 | |a 9780387313412 |c Hardcover |9 978-0-387-31341-2 | ||
020 | |a 9781441921741 |c Softcover |9 978-1-4419-2174-1 | ||
035 | |a (OCoLC)70295211 | ||
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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 | |
650 | 0 | 7 | |a Operatorhalbgruppe |0 (DE-588)4172620-0 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Operatorhalbgruppe |0 (DE-588)4172620-0 |D s |
689 | 0 | |5 DE-604 | |
700 | 1 | |a Nagel, Rainer |d 1940- |0 (DE-588)141517956 |4 aut | |
776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-0-387-36619-7 |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102/MAT 206f 2008 A 2527+2 0202/MAT 206f 2018 A 1309 0102/MAT 206f 2008 A 2527 |
---|---|
DE-BY-TUM_katkey | 1626345 |
DE-BY-TUM_media_number | 040008152336 040010087999 040010208838 |
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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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id | DE-604.BV021671574 |
illustrated | Not Illustrated |
index_date | 2024-07-02T15:08:58Z |
indexdate | 2024-11-25T17:26:05Z |
institution | BVB |
isbn | 9780387313412 9781441921741 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014885933 |
oclc_num | 70295211 |
open_access_boolean | |
owner | DE-824 DE-91G DE-BY-TUM DE-20 DE-11 DE-188 DE-83 |
owner_facet | DE-824 DE-91G DE-BY-TUM DE-20 DE-11 DE-188 DE-83 |
physical | X, 247 Seiten |
publishDate | 2006 |
publishDateSearch | 2006 |
publishDateSort | 2006 |
publisher | Springer |
record_format | marc |
series2 | Universitext |
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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