History of functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam u.a.
North-Holland Publ. Co.
1983
|
| Ausgabe: | 2. print. |
| Schriftenreihe: | Notas de matematica.
77. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 312 S. |
| ISBN: | 0444861483 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004294303 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 910313s1983 |||| 00||| eng d | ||
| 020 | |a 0444861483 |9 0-444-86148-3 | ||
| 035 | |a (OCoLC)258491718 | ||
| 035 | |a (DE-599)BVBBV004294303 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-83 |a DE-11 | ||
| 084 | |a SG 590 |0 (DE-625)143069: |2 rvk | ||
| 100 | 1 | |a Dieudonné, Jean Alexandre |d 1906-1992 |e Verfasser |0 (DE-588)119320738 |4 aut | |
| 245 | 1 | 0 | |a History of functional analysis |
| 250 | |a 2. print. | ||
| 264 | 1 | |a Amsterdam u.a. |b North-Holland Publ. Co. |c 1983 | |
| 300 | |a VI, 312 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Notas de matematica. |v 77. | |
| 490 | 0 | |a North-Holland mathematics studies. 49. | |
| 648 | 7 | |a Geschichte |2 gnd |9 rswk-swf | |
| 650 | 0 | 7 | |a Geschichte |0 (DE-588)4020517-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionalanalysis |0 (DE-588)4018916-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
| 689 | 0 | 1 | |a Geschichte |0 (DE-588)4020517-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Geschichte |A z |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Notas de matematica. |v 77. |w (DE-604)BV000003247 |9 77. | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002671216&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002671216 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804118486628171776 |
|---|---|
| adam_text | NORTH-HOLLAND MATHEMATICS STUDIES 49 NOTAS DE MATEMAETICA (77) EDITOR:
LEOPOLDO NACHBIN UNIVERSIDADE FEDERAL DO RIO DE JANEIRO AND UNIVERSITY
OF ROCHESTER HISTORY OF FUNCTIONAL ANALYSIS JEAN DIEUDONNE
PROFESSEURHONORAIRE AE LA FACULTE DES SCIENCES DE NICE, FRANCE
NORTH-HOLLAND - AMSTERDAM * NEW YORK * OXFORD TABLE OF CONTENTS
INTRODUCTION 1 CHAPTER I: LINEAR DIFFERENTIAL EQUATIONS AND THE
STURM-LIOUVILLE PROBLEM 9 §1. DIFFERENTIAL EQUATIONS AND PARTIAL
DIFFERENTIAL EQUATIONS IN THE XVIII CENTURY 9 §2. FOURIER EXPANSIONS 11
§3. THE STURM-LIOUVILLE THEORY L6 CHAPTER II: THE CRYPTO-INTEGRAL
EQUATIONS 22 §1. THE METHOD OF SUCCESSIVE APPROXIMATIONS 22 §2. PARTIAL
DIFFERENTIAL EQUATIONS IN THE XIX TH CENTURY 26 §3. THE BEGINNINGS OF
POTENTIAL THEORY 30 §4. THE DIRICHLET PRINCIPLE . 35 §5 * THE
BEER-NEUMANN METHOD 39 CHAPTER III: THE EQUATION OF VIBRATING MEMBRANES
47 §1. H.A. SCHWARZ S 1885 PAPER 47 §2. THE CONTRIBUTIONS OF POINCARE
56 CHAPTER IV: THE IDEA OF INFINITE DIMENSION 71 §1. LINEAR ALGEBRA IN
THE XIX CENTURY 71 §2. INFINITE DETERMINANTS 75 §3. GROPING TOWARDS
FUNCTION SPACES 79 §4. THE PASSAGE FROM FINITENESS TO INFINITY 87
CHAPTER V: THE CRUCIAL YEARS AND THE DEFINITION OF HILBERT SPACE 97 §1.
FREDHOLM S DISCOVERY 97 §2. THE CONTRIBUTIONS OF HUBERT 105 §3 THE
CONFLUENCE OF GEOMETRY, TOPOLOGY AND ANALYSIS 115 CHAPTER VI: DUALITY
AND THE DEFINITION OF NORMED SPACES. 121 §1. THE SEARCH FOR CONTINUOUS
LINEAR FUNCTIONALS .... 121 §2. THE L P AND L P SPACES 124 §3 THE BIRTH
OF NORMED SPACES AND THE HAHN-BANACH THEOREM 128 §4. THE METHOD OF THE
GLIDING HUMP AND BAIRE CATEGORY 138 V VI TABLE OF CONTENTS CHAPTER VII:
SPECTRAL THEORY AFTER 1900 LKK §1. F. RIESZ S THEORY OF COMPACT
OPERATORS LKK §2. THE SPECTRAL THEORY OF HUBERT L48 §3. THE WORK OF WEYL
AND CARLEMAN 160 §4. THE SPECTRAL THEORY OF VON NEUMANN 171 §5. BANACH
ALGEBRAS 182 §6. LATER DEVELOPMENTS 190 CHAPTER VIII: LOCALLY CONVEX
SPACES AND THE THEORY OF DISTRIBUTIONS 210 §1. WEAK CONVERGENCE AND WEAK
TOPOLOGY 210 §2. LOCALLY CONVEX SPACES 215 §3. THE THEORY OF DIS
TRIBUTIONS 221 CHAPTER IX: APPLICATIONS OF FUNCTIONAL ANALYSIS TO
DIFFERENTIAL AND PARTIAL DIFFERENTIAL EQUATIONS 233 §1. FIXED POINT
THEOREMS 233 §2. CARLEMAN OPERATORS AND GENERALIZED EIGENVECTORS 238 §3.
BOUNDARY PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS 243 §K. SOBOLEV
SPACES AND A PRIORI INEQUALITIES 248 §5. ELEMENTARY SOLUTIONS,
PARAMETRICES AND PSEUDO-DIFFERENTIAL OPERATORS 252 REFERENCES 280 AUTHOR
INDEX 299 SUBJECT INDEX 306
|
| any_adam_object | 1 |
| author | Dieudonné, Jean Alexandre 1906-1992 |
| author_GND | (DE-588)119320738 |
| author_facet | Dieudonné, Jean Alexandre 1906-1992 |
| author_role | aut |
| author_sort | Dieudonné, Jean Alexandre 1906-1992 |
| author_variant | j a d ja jad |
| building | Verbundindex |
| bvnumber | BV004294303 |
| classification_rvk | SG 590 |
| ctrlnum | (OCoLC)258491718 (DE-599)BVBBV004294303 |
| discipline | Mathematik |
| edition | 2. print. |
| era | Geschichte gnd |
| era_facet | Geschichte |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01692nam a2200445 cb4500</leader><controlfield tag="001">BV004294303</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">910313s1983 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0444861483</subfield><subfield code="9">0-444-86148-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)258491718</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004294303</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SG 590</subfield><subfield code="0">(DE-625)143069:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dieudonné, Jean Alexandre</subfield><subfield code="d">1906-1992</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119320738</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">History of functional analysis</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam u.a.</subfield><subfield code="b">North-Holland Publ. Co.</subfield><subfield code="c">1983</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 312 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Notas de matematica.</subfield><subfield code="v">77.</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">North-Holland mathematics studies. 49.</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geschichte</subfield><subfield code="0">(DE-588)4020517-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Geschichte</subfield><subfield code="0">(DE-588)4020517-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Geschichte</subfield><subfield code="A">z</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Notas de matematica.</subfield><subfield code="v">77.</subfield><subfield code="w">(DE-604)BV000003247</subfield><subfield code="9">77.</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002671216&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002671216</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV004294303 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:11:04Z |
| institution | BVB |
| isbn | 0444861483 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002671216 |
| oclc_num | 258491718 |
| open_access_boolean | |
| owner | DE-384 DE-83 DE-11 |
| owner_facet | DE-384 DE-83 DE-11 |
| physical | VI, 312 S. |
| psigel | TUB-nveb |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | North-Holland Publ. Co. |
| record_format | marc |
| series | Notas de matematica. |
| series2 | Notas de matematica. North-Holland mathematics studies. 49. |
| spelling | Dieudonné, Jean Alexandre 1906-1992 Verfasser (DE-588)119320738 aut History of functional analysis 2. print. Amsterdam u.a. North-Holland Publ. Co. 1983 VI, 312 S. txt rdacontent n rdamedia nc rdacarrier Notas de matematica. 77. North-Holland mathematics studies. 49. Geschichte gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s Geschichte (DE-588)4020517-4 s DE-604 Geschichte z 1\p DE-604 Notas de matematica. 77. (DE-604)BV000003247 77. GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002671216&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dieudonné, Jean Alexandre 1906-1992 History of functional analysis Notas de matematica. Geschichte (DE-588)4020517-4 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4020517-4 (DE-588)4018916-8 |
| title | History of functional analysis |
| title_auth | History of functional analysis |
| title_exact_search | History of functional analysis |
| title_full | History of functional analysis |
| title_fullStr | History of functional analysis |
| title_full_unstemmed | History of functional analysis |
| title_short | History of functional analysis |
| title_sort | history of functional analysis |
| topic | Geschichte (DE-588)4020517-4 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Geschichte Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002671216&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003247 |
| work_keys_str_mv | AT dieudonnejeanalexandre historyoffunctionalanalysis |