Non-commutative differentiation and estimates on operator integrals

Title

Non-commutative differentiation and estimates on operator integrals

 Author

Janssen, Luc (TU Delft Electrical Engineering, Mathematics and Computer Science)

Contributor

Caspers, M.P.T. (mentor)
de Oliveira Filho, F.M. (graduation committee)
van Neerven, J.M.A.M. (graduation committee) ORCID 0000-0003-4577-7908

 Degree granting institution

Delft University of Technology

 Programme

Applied Mathematics

 Date

2021-06-28

 Abstract

In 2017 Martijn Caspers, Fedor Sukochev and Dmitriy Zanin published a paper which generalises the proof of Davies' 1988 paper, and thus resolves the Nazarov-Peller conjecture. The proofs of these papers have been presented in this thesis. They have been expanded with a proof that generalises the conjecture to arbitrary Schatten classes. The optimality of the estimates in the conjecture is also studied, following the example of the 2016 paper by Coine et al. In addition, the quantum mechanical context is provided to interpret the presented results.

 Subject

Analysis
Mathematics
Operator Algebras

 To reference this document use:

http://resolver.tudelft.nl/uuid:48f32836-28d5-4e86-a207-014cf799a481

 Part of collection

Student theses

 Document type

master thesis

 Rights

© 2021 Luc Janssen
Files
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