Singular Traces. / Volume 1, : Theory / / Steven Lord, Fedor Sukochev, Dmitriy Zanin.
This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert spac...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2021 |
| Year of Publication: | 2021 |
| Edition: | 2nd corr. and exten. edition |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
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| Physical Description: | 1 online resource (XXX, 386 p.) |
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Lord, Steven, author. aut http://id.loc.gov/vocabulary/relators/aut Singular Traces. Volume 1, Theory / Steven Lord, Fedor Sukochev, Dmitriy Zanin. 2nd corr. and exten. edition Berlin ; Boston : De Gruyter, [2021] ©2021 1 online resource (XXX, 386 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 46/1 Frontmatter -- Preface -- Notations -- Contents -- Introduction -- Part I: Preliminary material -- 1 What is a singular trace? -- 2 Singular values and submajorization -- Part II: Theory of traces on ideals of ℒ ( H) -- Introduction -- 3 Calkin correspondence for norms and traces -- 4 Pietsch correspondence -- 5 Spectrality of traces -- Part III: Formulas for traces on ℒ1,∞ -- Introduction -- 6 Dixmier traces and positive traces -- 7 Diagonal formulas for traces -- 8 Heat trace and ζ-function formulas -- 9 Criteria for measurability -- A Miscellaneous results -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes’ noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Diximier Trace. Hilbertraum. Pseudo-Differential Operator. Singular Trace. Sukochev, Fedor, author. aut http://id.loc.gov/vocabulary/relators/aut Zanin, Dmitriy, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Ebook Package English 2021 9783110750720 Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 9783110750706 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA EPUB 9783110392319 print 9783110377798 https://doi.org/10.1515/9783110378054 https://www.degruyter.com/isbn/9783110378054 Cover https://www.degruyter.com/document/cover/isbn/9783110378054/original |
| language |
English |
| format |
eBook |
| author |
Lord, Steven, Lord, Steven, Sukochev, Fedor, Zanin, Dmitriy, |
| spellingShingle |
Lord, Steven, Lord, Steven, Sukochev, Fedor, Zanin, Dmitriy, Singular Traces. De Gruyter Studies in Mathematics , Frontmatter -- Preface -- Notations -- Contents -- Introduction -- Part I: Preliminary material -- 1 What is a singular trace? -- 2 Singular values and submajorization -- Part II: Theory of traces on ideals of ℒ ( H) -- 3 Calkin correspondence for norms and traces -- 4 Pietsch correspondence -- 5 Spectrality of traces -- Part III: Formulas for traces on ℒ1,∞ -- 6 Dixmier traces and positive traces -- 7 Diagonal formulas for traces -- 8 Heat trace and ζ-function formulas -- 9 Criteria for measurability -- A Miscellaneous results -- Bibliography -- Index |
| author_facet |
Lord, Steven, Lord, Steven, Sukochev, Fedor, Zanin, Dmitriy, Sukochev, Fedor, Sukochev, Fedor, Zanin, Dmitriy, Zanin, Dmitriy, |
| author_variant |
s l sl s l sl f s fs d z dz |
| author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Sukochev, Fedor, Sukochev, Fedor, Zanin, Dmitriy, Zanin, Dmitriy, |
| author2_variant |
f s fs d z dz |
| author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author_sort |
Lord, Steven, |
| title |
Singular Traces. |
| title_full |
Singular Traces. Volume 1, Theory / Steven Lord, Fedor Sukochev, Dmitriy Zanin. |
| title_fullStr |
Singular Traces. Volume 1, Theory / Steven Lord, Fedor Sukochev, Dmitriy Zanin. |
| title_full_unstemmed |
Singular Traces. Volume 1, Theory / Steven Lord, Fedor Sukochev, Dmitriy Zanin. |
| title_auth |
Singular Traces. |
| title_alt |
Frontmatter -- Preface -- Notations -- Contents -- Introduction -- Part I: Preliminary material -- 1 What is a singular trace? -- 2 Singular values and submajorization -- Part II: Theory of traces on ideals of ℒ ( H) -- 3 Calkin correspondence for norms and traces -- 4 Pietsch correspondence -- 5 Spectrality of traces -- Part III: Formulas for traces on ℒ1,∞ -- 6 Dixmier traces and positive traces -- 7 Diagonal formulas for traces -- 8 Heat trace and ζ-function formulas -- 9 Criteria for measurability -- A Miscellaneous results -- Bibliography -- Index |
| title_new |
Singular Traces. |
| title_sort |
singular traces. theory / |
| series |
De Gruyter Studies in Mathematics , |
| series2 |
De Gruyter Studies in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2021 |
| physical |
1 online resource (XXX, 386 p.) Issued also in print. |
| edition |
2nd corr. and exten. edition |
| contents |
Frontmatter -- Preface -- Notations -- Contents -- Introduction -- Part I: Preliminary material -- 1 What is a singular trace? -- 2 Singular values and submajorization -- Part II: Theory of traces on ideals of ℒ ( H) -- 3 Calkin correspondence for norms and traces -- 4 Pietsch correspondence -- 5 Spectrality of traces -- Part III: Formulas for traces on ℒ1,∞ -- 6 Dixmier traces and positive traces -- 7 Diagonal formulas for traces -- 8 Heat trace and ζ-function formulas -- 9 Criteria for measurability -- A Miscellaneous results -- Bibliography -- Index |
| isbn |
9783110378054 9783110750720 9783110750706 9783110754001 9783110753776 9783110754131 9783110753905 9783110392319 9783110377798 |
| issn |
0179-0986 ; |
| url |
https://doi.org/10.1515/9783110378054 https://www.degruyter.com/isbn/9783110378054 https://www.degruyter.com/document/cover/isbn/9783110378054/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.724 |
| dewey-sort |
3515.724 |
| dewey-raw |
515.724 |
| dewey-search |
515.724 |
| doi_str_mv |
10.1515/9783110378054 |
| oclc_num |
1262308457 |
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AT lordsteven singulartracesvolume1 AT sukochevfedor singulartracesvolume1 AT zanindmitriy singulartracesvolume1 |
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(DE-B1597)429854 (OCoLC)1262308457 |
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cr |
| title_part_txt |
Theory / |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2021 Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 |
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Singular Traces. |
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Title is part of eBook package: De Gruyter DG Ebook Package English 2021 |
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