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Frank Oertel
[edit]
Frank Oertel (* 1960) is a German mathematician, who is working as independent researcher primarily in functional analysis and operator theory. In particular, he has been contributing to the theory and applications of operator ideals in the sense of Albrecht Pietsch and the field of tensor norms on products of Banach spaces, built on R. Schatten's fundamental contributions and A. Grothendieck's seminal results in his early work in functional analysis; further developed and linked with operator ideals by A. Defant and K. Floret.[1] Oertel's strong interest lies in bridging these fields of research with the philosophy and foundations of quantum physics and quantum information.[2]
Life
[edit]Oertel wrote his dissertation, titled Conjugate operator ideals and the Α-local reflexivity principle at the University of Kaiserslautern-Landau (RPTU) under the supervision of Prof. em. E. Schock (main PhD supervisor) and Prof. em. A. Defant from University of Oldenburg (second PhD supervisor).
In addition to his activities in pure functional analysis, Oertel also applied methods from stochastic analysis to advanced mathematical finance. On this path of his profession, he held positions in the academic environment and in the financial industries, including University of Bonn, Heriot-Watt University in Edinburgh, University College Cork (Ireland), University of Southampton (UK), London School of Economics and Political Science (LSE), Deutsche Bank in Frankfurt, Swiss Re and Credit Suisse in Zurich, the Federal Financial Supervisory Authority (BaFin) in Bonn and Deloitte in Munich and London.
Research
[edit]Oertel's foundational work includes local structures of operator ideals, geometry of Banach spaces,[3] an in depth-analysis of the Grothendieck inequality[4] and applications of operator algebras in quantum mechanics.[5] His recent research tackles open problems and connects to foundational debates in quantum mechanics, such as quantum nonlocality and quantum entanglement, including philosophical and mathematical questions about spacetime geometry and quantum measurements.
He introduced a principle of local reflexivity for operator ideals[6], which has been leading to further open problems and additional information about local structures in operator ideals. In doing so, he succeeded in giving partial negative answers to some questions of A. Defant and K. Floret.[7]
Moreover, by considering the pure geometric structure of a problem in relation to the calculation of the super-replication price in a general semimartingale model for incomplete financial markets (based on properties of Riesz spaces and duality of convex cones of terminal wealths), Oertel together with M. P. Owen generalised in a joint article the main results given by S. Biagini and M. Frittelli and provided dual representation results by means of suitable sets of separating measures. This approach also resulted in an infinite-dimensional version of Farkas' Lemma.[8]
Selected Publications
[edit]PhD thesis
[edit]Selected articles
[edit]- Oertel, Frank (2015). "An analysis of the Rüschendorf transform - with a view towards Sklar’s theorem". Depend. Model. 3: 113-125. doi:10.1515/demo-2015-0008/html.
- Albanese Claudio; Brigo Damiano; Oertel, Frank (2013). "Restructuring counterparty credit risk". Int. J. Theor. Appl. Finance. 16, No. 2: Article ID 1350010, 29 p. doi:10.1142/S0219024913500106.
- Oertel, Frank; Owen, Mark P. (2009). "Geometry of polar wedges in Riesz spaces and super-replication prices in incomplete financial markets". Positivity 13: 201-224. doi:10.1007/s11117-008-2196-9.
- Oertel, Frank (2002). "Extension of finite rank operators and operator ideals with the property (I)". Math. Nachr.. 238: 144-159. doi:10.1002/1522-2616(200205)238:1<144::AID-MANA144>3.0.CO;2-Y.
- Oertel, Frank (1992). "Operator ideals and the principle of local reflexivity". Acta Univ. Carol., Math. Phys. 33, No. 2: 115-120. EuDML.
Book
[edit]- Oertel, Frank (2024). Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions. Springer Cham. Part of the book series: Lecture Notes in Mathematics (LNM, volume 2349). doi: https://link.springer.com/book/10.1007/978-3-031-57201-2, zbMath-review: https://zbmath.org/7820894
References
[edit]- ^ "Document Zbl 0774.46018 - zbMATH Open". zbmath.org. Retrieved 2025-04-12.
- ^ "Frank Oertel - The Mathematics Genealogy Project". www.mathgenealogy.org. Retrieved 2025-04-08.
- ^ "Document Search Results - zbMATH Open". zbmath.org. Retrieved 2025-04-09.
- ^ "Document Zbl 07820894 - zbMATH Open". zbmath.org. Retrieved 2025-04-09.
- ^ "Document arXiv:2308.04627 - zbMATH Open". zbmath.org. Retrieved 2025-04-09.
- ^ "Document Zbl 0743.46014 - zbMATH Open". zbmath.org. Retrieved 2025-04-09.
- ^ "Document Zbl 1034.47044 - zbMATH Open". zbmath.org. Retrieved 2025-04-09.
- ^ "Document Zbl 1163.91013 - zbMATH Open". zbmath.org. Retrieved 2025-04-09.