DIXMIER TRACES: Analytical approach and applications.

Keywords

Computer science, Mathematics, Calculus (dental), Algorithm

References

• Classical Banach spaces I: Sequence Spaces.Lior Tzafriri, Lior Tzafriri, Joram Lindenstrauss — 1977
• Introduction to the theory of linear nonselfadjoint operatorsIsrael Gohberg, M. Г. Крейн — 1969
• Geometry from the spectral point of viewAlain Connes — 1995
• Singular symmetric functionals and Banach limits with additional invariance propertiesPeter G. Dodds, B. de Pagter, A. A. Sedaev — 2003
• Symmetric Functionals and Singular TracesPeter G. Dodds, B. de Pagter, E. M. Semenov — 1998
• Dixmier traces as singular symmetric functionals and applications to measurable operatorsSteven Lord, Александр Андреевич Седаев, Fedor Sukochev — 2005
• Type II non-commutative geometry. I. Dixmier trace in von Neumann algebrasMoulay-Tahar Benameur, Thierry Fack — 2006
• Spectral flow and Dixmier tracesAlan L. Carey, John Phillips, Fedor Sukochev — 2002
• Generalized s-numbers of τ-measurable operatorsThierry Fack, Hideki Kosaki — 1986
• A contribution to the theory of divergent sequencesG. G. Lorentz — 1948
• Singular Symmetric FunctionalsPeter G. Dodds, B. de Pagter, A. A. Sedaev — 2004
• Lidskii-Type Formulae for Dixmier TracesNurulla A. Azamov, Fyodor A. Sukochev — 2005
• Operator Estimates for Fredholm ModulesFedor Sukochev — 2000
• Dixmier traces and some applications in non-commutative geometryAlan L. Carey, Fedor Sukochev — 2006
• Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed IdealsN. J. Kalton, Fedor Sukochev — 2008
• Fully symmetric operator spacesPeter G. Dodds, Theresa K.-Y. Dodds, B. de Pagter — 1992
• Trace Functionals for a Class of Pseudo-Differential Operators in RnFabio Nicola — 2003
• Сингулярные симметричные функционалы и банаховы пределы с дополнительными свойствами инвариантности@@@Singular symmetric functionals and Banach limits with additional invariance propertiesPeter G. Dodds, Peter G. Dodds, Бернардус де Пагтер — 2003
• GENERALIZED ^-NUMBERS OF r-MEASURABLE OPERATORSThierry Fack, Hideki Kosaki — 1986
• A remark on trace properties of K-cyclesFabio Cipriani, Daniele Guido, Sergio Scarlatti — 1995

Cited by

• Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs MeasuresLeandro Cioletti, Artur O. Lopes — 2018
• Higher Nahm transform in non commutative geometryTsuyoshi Kato, Hirofumi Sasahira, Hang Wang — 2018
• SPECTRAL TRIPLES ON THERMODYNAMIC FORMALISM AND DIXMIER TRACE REPRESENTATIONS FOR GIBBS MEASURES: THEORY AND EXAMPLESL. Hataishi, A. Lopes, M. Stadlbauer — 2020

Related papers

No related papers recorded.