Format:
1 Online-Ressource (XXX, 386 p)
Edition:
2nd corr. and exten. edition
ISBN:
9783110378054
,
9783110392319
Series Statement:
De Gruyter Studies in Mathematics 46/1
Content:
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
Content:
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
Note:
In English
Additional Edition:
ISBN 9783110377798
Additional Edition:
Erscheint auch als Druck-Ausgabe Lord, Steven Singular traces ; Volume 1: Theory Berlin : De Gruyter, 2021 ISBN 9783110377798
Additional Edition:
ISBN 3110377799
Language:
English
Keywords:
Spur
;
Singulärwertzerlegung
;
Operatorraum
;
Operatorenideal
;
Nichtkommutative Geometrie
;
Wärmeleitungskern
;
Zetafunktion
DOI:
10.1515/9783110378054
Author information:
Zanin, Dmitriy
Author information:
Sukochev, Fedor
Author information:
Lord, Steven
