Singular Traces. / Volume 2, : Trace Formulas / / Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald.
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are stud...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
| Year of Publication: | 2023 |
| Edition: | 2nd corr. and exten. edition |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
46/2 |
| Online Access: | |
| Physical Description: | 1 online resource (XL, 474 p.) |
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| 020 | |a 9783110700176 | ||
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| 100 | 1 | |a Lord, Steven, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Singular Traces. |n Volume 2, |p Trace Formulas / |c Steven Lord, Fedor Sukochev, Dmitriy Zanin, Edward McDonald. |
| 250 | |a 2nd corr. and exten. edition | ||
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2023] | |
| 264 | 4 | |c ©2023 | |
| 300 | |a 1 online resource (XL, 474 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Studies in Mathematics , |x 0179-0986 ; |v 46/2 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Notations -- |t Contents -- |t Introduction -- |t Part I: Trace and integral formulas -- |t 1 Bounded operators and pseudodifferential operators -- |t 2 Trace formulas -- |t 3 Integration formulas -- |t Part II: The principal symbol mapping in noncommutative geometry -- |t 4 Integration formula for the noncommutative plane -- |t 5 A C∗-algebraic approach to principal symbols and trace formulas -- |t 6 Quantum differentiability for the Euclidean plane -- |t Part III: Further applications -- |t 7 Connes character formula -- |t 8 Density of states -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Mrz 2024) | |
| 650 | 4 | |a Diximier Trace. | |
| 650 | 4 | |a Hilbertraum. | |
| 650 | 4 | |a Pseudodifferentialoperator. | |
| 650 | 4 | |a Singular Trace. | |
| 650 | 7 | |a MATHEMATICS / Mathematical Analysis. |2 bisacsh | |
| 653 | |a Diximier Trace. | ||
| 653 | |a Hilbert Space. | ||
| 653 | |a Pseudo Differential Operator. | ||
| 653 | |a Singular Trace. | ||
| 700 | 1 | |a McDonald, Edward, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Sukochev, Fedor, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Zanin, Dmitriy, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2023 Part 1 |z 9783111175782 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 English |z 9783111319292 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 |z 9783111318912 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2023 English |z 9783111319209 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2023 |z 9783111318608 |o ZDB-23-DMA |
| 776 | 0 | |c EPUB |z 9783110700244 | |
| 776 | 0 | |c print |z 9783110700008 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110700176 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110700176 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110700176/original |
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