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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Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2021 |
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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 ,
46/1 |
Online Access: | |
Physical Description: | 1 online resource (XXX, 386 p.) |
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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 1, |p Theory / |c Steven Lord, Fedor Sukochev, Dmitriy Zanin. |
250 | |a 2nd corr. and exten. edition | ||
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2021] | |
264 | 4 | |c ©2021 | |
300 | |a 1 online resource (XXX, 386 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 46/1 | |
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Notations -- |t Contents -- |t Introduction -- |t Part I: Preliminary material -- |t 1 What is a singular trace? -- |t 2 Singular values and submajorization -- |t Part II: Theory of traces on ideals of ℒ ( H) -- |t Introduction -- |t 3 Calkin correspondence for norms and traces -- |t 4 Pietsch correspondence -- |t 5 Spectrality of traces -- |t Part III: Formulas for traces on ℒ1,∞ -- |t Introduction -- |t 6 Dixmier traces and positive traces -- |t 7 Diagonal formulas for traces -- |t 8 Heat trace and ζ-function formulas -- |t 9 Criteria for measurability -- |t A Miscellaneous results -- |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 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. | ||
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 28. Feb 2023) | |
650 | 4 | |a Diximier Trace. | |
650 | 4 | |a Hilbertraum. | |
650 | 4 | |a Pseudo-Differential Operator. | |
650 | 4 | |a Singular Trace. | |
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 | |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2021 English |z 9783110754131 |
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