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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Steven Lord; F A Sukochev; Dmitriy Zanin |

ISBN: | 9783110262506 3110262509 |

OCLC Number: | 816818801 |

Description: | xvi, 452 pages : illustrations ; 25 cm. |

Contents: | Preliminary Material. What is a Singular Trace? ; Preliminaries on Symmetric Operator Spaces. -- General Theory. Symmetric Operator Spaces ; Symmetric Functionals ; Commutator Subspace ; Dixmier Traces. -- Traces on Lorentz Ideals. Lidskii Formulas for Dixmier Traces on Lorentz Ideals ; Heat Kernel Formulas and -function Residues ; Measurability in Lorentz Ideals. -- Applications to Noncommutative Geometry. Preliminaries to the Applications ; Trace Theorems ; Residues and Integrals in Noncommutative Geometry. -- Operator Results. |

Series Title: | De Gruyter studies in mathematics, 46. |

Responsibility: | Steven Lord, Fedor Sukochev, Dmitriy Zanin. |

### Abstract:

This text is the first complete study and monograph dedicated to singular traces. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to Dixmier traces and the deeper mathematical features of singular traces.
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