Classical summation in commutative and noncommutative Lp-spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
|
| Schriftenreihe: | Lecture notes in mathematics
2021 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | VIII, 171 S. graph. Darst. 24 cm |
| ISBN: | 9783642204371 3642204376 9783642204388 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV039155515 | ||
| 003 | DE-604 | ||
| 005 | 20110816 | ||
| 007 | t | ||
| 008 | 110725s2011 d||| |||| 00||| eng d | ||
| 016 | 7 | |a 1010602233 |2 DE-101 | |
| 020 | |a 9783642204371 |c kart. : EUR 37.40 (DE) (freier Pr.), ca. sfr 50.50 (freier Pr.) |9 978-3-642-20437-1 | ||
| 020 | |a 3642204376 |9 3-642-20437-6 | ||
| 020 | |a 9783642204388 |c eISBN |9 978-3-642-20438-8 | ||
| 035 | |a (OCoLC)725022491 | ||
| 035 | |a (DE-599)DNB1010602233 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-824 |a DE-11 |a DE-83 |a DE-188 |a DE-91G |a DE-19 | ||
| 082 | 0 | |a 515.7 |2 22/ger | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a MAT 470f |2 stub | ||
| 084 | |a 47-XX |2 msc | ||
| 084 | |a 46-XX |2 msc | ||
| 084 | |a 510 |2 sdnb | ||
| 084 | |a MAT 464f |2 stub | ||
| 100 | 1 | |a Defant, Andreas |d 1953- |e Verfasser |0 (DE-588)1018502793 |4 aut | |
| 245 | 1 | 0 | |a Classical summation in commutative and noncommutative Lp-spaces |c Andreas Defant |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2011 | |
| 300 | |a VIII, 171 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 2021 | |
| 500 | |a Literaturangaben | ||
| 650 | 0 | 7 | |a Nichtkommutativer Lp-Raum |0 (DE-588)4528421-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Orthogonalreihe |0 (DE-588)4359365-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Summierungsverfahren |0 (DE-588)4308019-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Orthogonalreihe |0 (DE-588)4359365-3 |D s |
| 689 | 0 | 1 | |a Summierungsverfahren |0 (DE-588)4308019-4 |D s |
| 689 | 0 | 2 | |a Nichtkommutativer Lp-Raum |0 (DE-588)4528421-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |t Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces |
| 830 | 0 | |a Lecture notes in mathematics |v 2021 |w (DE-604)BV000676446 |9 2021 | |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3702269&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024173177&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-024173177 | |
Datensatz im Suchindex
| _version_ | 1805096463092416512 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 STEP 1 2
1.2 STEP 2 4
1.3 STEP 3 6
1.3.1 COEFFICIENT TESTS IN THE ALGEBRA ITSELF 7
1.3.2 TESTS IN THE HUBERT SPACES 2 ( ^ , 9) AND MORE GENERALLY
HAAGERUP L P 'S 9
1.3.3 TESTS IN SYMMETRIC SPACES E(JI,X), TA TRACE 11
1.4 PRELIMINARIES 13
2 COMMUTATIVE THEORY 15
2.1 MAXIMIZING MATRICES 15
2.1.1 SUMMATION OF SCALAR SERIES 16
2.1.2 MAXIMAL INEQUALITIES IN BANACH FUNCTION SPACES 19 2.1.3 (P,
G)-MAXIMIZING MATRICES 21
2.1.4 MAXIMIZING MATRICES AND ORTHONORMAL SERIES 24 2.1.5 MAXIMIZING
MATRICES AND SUMMATION: THE CASE Q P 25 2.1.6 BANACH OPERATOR IDEALS:
A REPETITORIUM 28
2.1.7 MAXIMIZING MATRICES AND SUMMATION: THE CASE Q P 33 2.1.8 ALMOST
EVERYWHERE SUMMATION 37
2.2 BASIC EXAMPLES OF MAXIMIZING MATRICES 40
2.2.1 THE SUM MATRIX 40
2.2.2 RIESZ MATRICES 46
2.2.3 CESARO MATRICES 50
2.2.4 KRONECKER MATRICES 55
2.2.5 ABEL MATRICES 61
2.2.6 SCHUR MULTIPLIERS 62
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010602233
DIGITALISIERT DURCH
IMAGE 2
VIII CONTENTS
2.3 LIMIT THEOREMS IN BANACH FUNCTION SPACES 65
2.3.1 COEFFICIENT TESTS IN BANACH FUNCTION SPACES 65
2.3.2 LAWS OF LARGE NUMBERS IN BANACH FUNCTION SPACES 74
3 NONCOMMUTATIVE THEORY 79
3.1 THE TRACIAL CASE 79
3.1.1 SYMMETRIC SPACES OF OPERATORS 80
3.1.2 MAXIMAL INEQUALITIES IN SYMMETRIC SPACES OF OPERATORS 86 3.1.3
TRACIAL EXTENSIONS OF MAXIMIZING MATRICES 95
3.1.4 THE ROW+COLUMN MAXIMAL THEOREM 100
3.1.5 ALMOST UNIFORM CONVERGENCE 109
3.1.6 COEFFICIENT TESTS IN SYMMETRIC OPERATOR SPACES I LL 3.1.7 LAWS OF
LARGE NUMBERS IN SYMMETRIC OPERATOR SPACES 116 3.1.8 A COUNTEREXAMPLE
118
3.2 THE NONTRACIAL CASE 123
3.2.1 HAAGERUP LP-SPACES 123
3.2.2 MAXIMAL INEQUALITIES IN HAAGERUP ^-SPACES 126 3.2.3 NONTRACIAL
EXTENSIONS OF MAXIMIZING MATRICES 128 3.2.4 ALMOST SURE CONVERGENCE 129
3.2.5 COEFFICIENT TESTS IN HAAGERUP /^-SPACES 134
3.2.6 LAWS OF LARGE NUMBERS IN HAAGERUP ^-SPACES 139 3.2.7 COEFFICIENT
TESTS IN THE ALGEBRA ITSELF 141
3.2.8 LAWS OF LARGE NUMBERS IN THE ALGEBRA ITSELF 148
3.2.9 MAXIMAL INEQUALITIES IN THE ALGEBRA ITSELF 150
REFERENCES 159
SYMBOLS 165
AUTHOR INDEX 167
SUBJECT INDEX 169 |
| any_adam_object | 1 |
| author | Defant, Andreas 1953- |
| author_GND | (DE-588)1018502793 |
| author_facet | Defant, Andreas 1953- |
| author_role | aut |
| author_sort | Defant, Andreas 1953- |
| author_variant | a d ad |
| building | Verbundindex |
| bvnumber | BV039155515 |
| classification_rvk | SI 850 |
| classification_tum | MAT 470f MAT 464f |
| ctrlnum | (OCoLC)725022491 (DE-599)DNB1010602233 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| 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">BV039155515</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20110816</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">110725s2011 d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1010602233</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642204371</subfield><subfield code="c">kart. : EUR 37.40 (DE) (freier Pr.), ca. sfr 50.50 (freier Pr.)</subfield><subfield code="9">978-3-642-20437-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3642204376</subfield><subfield code="9">3-642-20437-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642204388</subfield><subfield code="c">eISBN</subfield><subfield code="9">978-3-642-20438-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)725022491</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1010602233</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-824</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 470f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">47-XX</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46-XX</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 464f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Defant, Andreas</subfield><subfield code="d">1953-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1018502793</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Classical summation in commutative and noncommutative Lp-spaces</subfield><subfield code="c">Andreas Defant</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 171 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">24 cm</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">Lecture notes in mathematics</subfield><subfield code="v">2021</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturangaben</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtkommutativer Lp-Raum</subfield><subfield code="0">(DE-588)4528421-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Orthogonalreihe</subfield><subfield code="0">(DE-588)4359365-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Summierungsverfahren</subfield><subfield code="0">(DE-588)4308019-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Orthogonalreihe</subfield><subfield code="0">(DE-588)4359365-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Summierungsverfahren</subfield><subfield code="0">(DE-588)4308019-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Nichtkommutativer Lp-Raum</subfield><subfield code="0">(DE-588)4528421-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="t">Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">2021</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">2021</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=3702269&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=024173177&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024173177</subfield></datafield></record></collection> |
| id | DE-604.BV039155515 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T11:15:34Z |
| institution | BVB |
| isbn | 9783642204371 3642204376 9783642204388 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024173177 |
| oclc_num | 725022491 |
| open_access_boolean | |
| owner | DE-824 DE-11 DE-83 DE-188 DE-91G DE-BY-TUM DE-19 DE-BY-UBM |
| owner_facet | DE-824 DE-11 DE-83 DE-188 DE-91G DE-BY-TUM DE-19 DE-BY-UBM |
| physical | VIII, 171 S. graph. Darst. 24 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Defant, Andreas 1953- Verfasser (DE-588)1018502793 aut Classical summation in commutative and noncommutative Lp-spaces Andreas Defant Berlin [u.a.] Springer 2011 VIII, 171 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2021 Literaturangaben Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd rswk-swf Orthogonalreihe (DE-588)4359365-3 gnd rswk-swf Summierungsverfahren (DE-588)4308019-4 gnd rswk-swf Orthogonalreihe (DE-588)4359365-3 s Summierungsverfahren (DE-588)4308019-4 s Nichtkommutativer Lp-Raum (DE-588)4528421-0 s DE-604 Erscheint auch als Online-Ausgabe Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces Lecture notes in mathematics 2021 (DE-604)BV000676446 2021 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3702269&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024173177&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Defant, Andreas 1953- Classical summation in commutative and noncommutative Lp-spaces Lecture notes in mathematics Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd Orthogonalreihe (DE-588)4359365-3 gnd Summierungsverfahren (DE-588)4308019-4 gnd |
| subject_GND | (DE-588)4528421-0 (DE-588)4359365-3 (DE-588)4308019-4 |
| title | Classical summation in commutative and noncommutative Lp-spaces |
| title_auth | Classical summation in commutative and noncommutative Lp-spaces |
| title_exact_search | Classical summation in commutative and noncommutative Lp-spaces |
| title_full | Classical summation in commutative and noncommutative Lp-spaces Andreas Defant |
| title_fullStr | Classical summation in commutative and noncommutative Lp-spaces Andreas Defant |
| title_full_unstemmed | Classical summation in commutative and noncommutative Lp-spaces Andreas Defant |
| title_short | Classical summation in commutative and noncommutative Lp-spaces |
| title_sort | classical summation in commutative and noncommutative lp spaces |
| topic | Nichtkommutativer Lp-Raum (DE-588)4528421-0 gnd Orthogonalreihe (DE-588)4359365-3 gnd Summierungsverfahren (DE-588)4308019-4 gnd |
| topic_facet | Nichtkommutativer Lp-Raum Orthogonalreihe Summierungsverfahren |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3702269&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=024173177&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT defantandreas classicalsummationincommutativeandnoncommutativelpspaces |