Trace Formulas and Finite Dimensional Approximations
| dc.contributor.author | Pradhan, Chandan | |
| dc.date.accessioned | 2023-09-12T11:40:06Z | |
| dc.date.accessioned | 2023-10-20T12:31:15Z | |
| dc.date.available | 2023-09-12T11:40:06Z | |
| dc.date.available | 2023-10-20T12:31:15Z | |
| dc.date.issued | 2023 | |
| dc.description | Supervisor: Chattopadhyay, Arup | en_US |
| dc.description.abstract | The dissertation gives a new proof of some existing second-order trace formulas, namely the Koplienko-Neidhardt trace formula for pair of unitaries in the multiplicative path, the Koplienko-Neidhardt trace formula for pair of contractions via linear path with one of them being normal. Our proofs are based on the idea of the finite-dimensional approximation method introduced by Voiculescu. As a consequence of our results and the Schaffer matrix unitary dilation, we obtained second-order trace formula for a class of pairs of contractions via linear path. Using a different setup of finite dimensional approximations, we extend the Koplienko-Neidhardt trace formula for a class of pairs of contractions via multiplicative path. | en_US |
| dc.identifier.other | ROLL NO.186123006 | |
| dc.identifier.uri | https://gyan.iitg.ac.in/handle/123456789/2455 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | TH-3167; | |
| dc.subject | Schatten p-class | en_US |
| dc.subject | Trace Formulae in Pertubation Theory | en_US |
| dc.subject | Spectral Shift Function | en_US |
| dc.subject | Double Operator Integrals | en_US |
| dc.subject | Schaffer Matrix Unitary Dilation | en_US |
| dc.title | Trace Formulas and Finite Dimensional Approximations | en_US |
| dc.type | Thesis | en_US |
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