Singular traces . Volume 1, : Theory / / Steven Lord, Fedor Sukochev, Dmitriy Zanin

• Autore: Lord Steven
• Pubblicazione: Berlin ; ; Boston, MA : , : Walter de Gruyter GmbH, , [2021]; ©2021
• Edizione: 2nd corr. and exten. edition
• Descrizione fisica: 1 online resource (XXX, 386 p.)
• Disciplina: 515.732
• Soggetto topico: Operator spaces; Symmetric functions
• Persona (resp. second.): SukochevF. A.; ZaninDmitriy
• Nota di contenuto: 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
• Sommario/riassunto: 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.
• Titolo autorizzato: Singular Traces
• ISBN: 3-11-037805-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910554230903321
• Lo trovi qui: Univ. Federico II
• Serie: De Gruyter Studies in Mathematics