Radon measures on arbitrary topological spaces and cylindrical measures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London, [u.a.]
Oxford University Press
1973
|
| Schriftenreihe: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xii, 393 Seiten |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002759772 | ||
| 003 | DE-604 | ||
| 005 | 20241210 | ||
| 007 | t| | ||
| 008 | 900724s1973 xx |||| 00||| engod | ||
| 035 | |a (OCoLC)472159211 | ||
| 035 | |a (DE-599)BVBBV002759772 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-91G |a DE-384 |a DE-703 |a DE-19 |a DE-20 |a DE-29T |a DE-355 |a DE-12 |a DE-83 |a DE-188 | ||
| 084 | |a SK 430 |0 (DE-625)143239: |2 rvk | ||
| 084 | |a 28C05 |2 msc/1970 | ||
| 100 | 1 | |a Schwartz, Laurent |d 1915-2002 |0 (DE-588)118795694 |4 aut | |
| 245 | 1 | 0 | |a Radon measures on arbitrary topological spaces and cylindrical measures |c Laurent Schwartz |
| 264 | 1 | |a London, [u.a.] |b Oxford University Press |c 1973 | |
| 300 | |a xii, 393 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics |v 6 | |
| 650 | 0 | 7 | |a Rotationssymmetrisches Werkstück |0 (DE-588)4178510-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Radon-Maß |0 (DE-588)4242168-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Rotationssymmetrisches Werkstück |0 (DE-588)4178510-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Radon-Maß |0 (DE-588)4242168-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics |v 6 |w (DE-604)BV004244858 |9 6 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001764096&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 942 | 1 | 1 | |e 22/bsb |g 439 |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-001764096 | |
| 980 | 4 | |a (DE-12)AK20000149 | |
Datensatz im Suchindex
| _version_ | 1818058516797063168 |
|---|---|
| adam_text |
CONTENTS
Introduction . v
* Remeeciements . vii
PART I
Summary of Chapter I . 3
Chapter I. Radon Measures: Main Properties and Operations
1. Preliminaries . 7
2. Definition of Radon measure on general topological
spaces . 12
3. Induced measures . 20
4. Product of a measure by a locally integrable
function 23
5. Measurable mappings and image measures . . 25
6. Other properties of Radon measures . 40
7. Real and complex measures . . . .53
8. Different ways of defining Radon measures . . 58
9. Tensor product of measures . 63
10. Projective limit of measures . 74
11. Non Hausdorff spaces . 82
Summary of Chapter II . . . . . .89
Chapter II. Polish, Lusin, Suslin and Radon Spaces
1. Definitions and topological properties . 92
2. Examples of Lusin spaces . . . .112
3. Radon spaces . . . . . .117
4. Lifting of Ln to J2?" 130
5. Spaces of regulated functions . . . .136
Terminological Index to Part I . . . . • 144
x contents
References . . . . . . . . .146
PART II
Introduction to Part II . . . . . .151
Summary of Chapter I . . . . . . .152
Chapter I. Equivalent Topologies
1. Equivalent measures . . . . .153
2. Equivalent topologies . . . . .155
3. A Borel graph theorem . . . . .160
4. Equivalence of the strong and weak topologies . 161
5. Equivalence of the strong topology with coarser
topologies . . . . . . .166
Summary of Chapter II . . . . . . .171
Chapter II. Cylindrical Measures
1. Definition of cylindrical measures . . .172
2. Operations with cylindrical measures . . .180
3. Concentrations . . . . . . .188
Summary of Chapter III 206
Chapter III. Cylindrical Measures and Hilbert Sohmidt
Operators
1. Hilbert Schmidt operators . 207
2. The main lemma 212
3. The theorem of Sazonov . . . . .214
Summary of Chapter IV . . . . . .218
CONTENTS Xi
Chapter IV. Cylindrical Measures and Nuclear Spaces
1. Nuclear operators . . . . . .219
2. Nuclear spaces . 226
3. The theorem of Minlos 233
4. The theorem of Sazonov Badrikian . . . 237
Summary of Chapter V . 242
Chapter V. Cylindrical Measures and Probability theory
1. Basic concepts of probability theory . . . 244
2. Randon functions . 254
3. Examples and applications . 269
4. An analogue of Prokhorov's theorem for random
variables with values in a Suslin space . . . 288
5. Categories of random functions . 305
Summary of Chapter VI . 324
Chapter VI. Gauss Measures
1. The definition of Gauss measures . . . 325
2. The Hilbert subspaces of a locally convex space . 330
3. The converse of the theorems of Sazonov and Minlos 341
4. The analogue of Sazonov's theorem for lp spaces
(0 p + oo) and applications . . . 347
5. An application to Brownian motion . . .350
Summary of Appendix . 368
Appendix. Complements on Narrow Convergence
1. Narrow convergence on an arbitrary topological
space . 369
2. Riemann integrable functions . 374
t
Xii CONTENTS
3. A compactness criterion for the narrow topology . 379
4. A theorem of Paul LeVy 382
5. The space of finite measures on a Suslin space . 385
Terminological Index to Part II . . . . . 390
References . 392 |
| any_adam_object | 1 |
| author | Schwartz, Laurent 1915-2002 |
| author_GND | (DE-588)118795694 |
| author_facet | Schwartz, Laurent 1915-2002 |
| author_role | aut |
| author_sort | Schwartz, Laurent 1915-2002 |
| author_variant | l s ls |
| building | Verbundindex |
| bvnumber | BV002759772 |
| classification_rvk | SK 430 |
| ctrlnum | (OCoLC)472159211 (DE-599)BVBBV002759772 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV002759772</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20241210</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">900724s1973 xx |||| 00||| engod</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)472159211</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002759772</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 430</subfield><subfield code="0">(DE-625)143239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">28C05</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schwartz, Laurent</subfield><subfield code="d">1915-2002</subfield><subfield code="0">(DE-588)118795694</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Radon measures on arbitrary topological spaces and cylindrical measures</subfield><subfield code="c">Laurent Schwartz</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London, [u.a.]</subfield><subfield code="b">Oxford University Press</subfield><subfield code="c">1973</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 393 Seiten</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">Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics</subfield><subfield code="v">6</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Rotationssymmetrisches Werkstück</subfield><subfield code="0">(DE-588)4178510-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Radon-Maß</subfield><subfield code="0">(DE-588)4242168-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Rotationssymmetrisches Werkstück</subfield><subfield code="0">(DE-588)4178510-1</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">Radon-Maß</subfield><subfield code="0">(DE-588)4242168-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics</subfield><subfield code="v">6</subfield><subfield code="w">(DE-604)BV004244858</subfield><subfield code="9">6</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=001764096&sequence=000002&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="n">oe</subfield></datafield><datafield tag="942" ind1="1" ind2="1"><subfield code="e">22/bsb</subfield><subfield code="g">439</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001764096</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK20000149</subfield></datafield></record></collection> |
| genre | Zylindrisches Maß gnd |
| genre_facet | Zylindrisches Maß |
| id | DE-604.BV002759772 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-10T13:01:52Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001764096 |
| oclc_num | 472159211 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-703 DE-19 DE-BY-UBM DE-20 DE-29T DE-355 DE-BY-UBR DE-12 DE-83 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-703 DE-19 DE-BY-UBM DE-20 DE-29T DE-355 DE-BY-UBR DE-12 DE-83 DE-188 |
| physical | xii, 393 Seiten |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Oxford University Press |
| record_format | marc |
| series | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics |
| spelling | Schwartz, Laurent 1915-2002 (DE-588)118795694 aut Radon measures on arbitrary topological spaces and cylindrical measures Laurent Schwartz London, [u.a.] Oxford University Press 1973 xii, 393 Seiten txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics 6 Rotationssymmetrisches Werkstück (DE-588)4178510-1 gnd rswk-swf Radon-Maß (DE-588)4242168-8 gnd rswk-swf Rotationssymmetrisches Werkstück (DE-588)4178510-1 s DE-604 Radon-Maß (DE-588)4242168-8 s Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics 6 (DE-604)BV004244858 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001764096&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwartz, Laurent 1915-2002 Radon measures on arbitrary topological spaces and cylindrical measures Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research studies in mathematics Rotationssymmetrisches Werkstück (DE-588)4178510-1 gnd Radon-Maß (DE-588)4242168-8 gnd |
| subject_GND | (DE-588)4178510-1 (DE-588)4242168-8 |
| title | Radon measures on arbitrary topological spaces and cylindrical measures |
| title_auth | Radon measures on arbitrary topological spaces and cylindrical measures |
| title_exact_search | Radon measures on arbitrary topological spaces and cylindrical measures |
| title_full | Radon measures on arbitrary topological spaces and cylindrical measures Laurent Schwartz |
| title_fullStr | Radon measures on arbitrary topological spaces and cylindrical measures Laurent Schwartz |
| title_full_unstemmed | Radon measures on arbitrary topological spaces and cylindrical measures Laurent Schwartz |
| title_short | Radon measures on arbitrary topological spaces and cylindrical measures |
| title_sort | radon measures on arbitrary topological spaces and cylindrical measures |
| topic | Rotationssymmetrisches Werkstück (DE-588)4178510-1 gnd Radon-Maß (DE-588)4242168-8 gnd |
| topic_facet | Rotationssymmetrisches Werkstück Radon-Maß |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001764096&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004244858 |
| work_keys_str_mv | AT schwartzlaurent radonmeasuresonarbitrarytopologicalspacesandcylindricalmeasures |