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Vorlage:Infobox scientist Thomas Berthold Schlumprecht (born October 19, 1954, in Munich, Germany) is an American-German mathematician. He is known for his contributions to several fields of Analysis, including Functional Analysis, Convex Geometry, and Probability Theory.[1][2]

Biography

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Thomas Schlumprecht is a mathematician who received his Ph.D. degree from Ludwig Maximilian University of Munich in 1988,[3] under the supervision of Jürgen Batt. From 1988 to 1991, he served as a postdoctoral fellow at the University of Texas at Austin. Following this, he held the position of assistant professor at Louisiana State University in Baton Rouge from 1991 to 1992.[3] Since 1992, Schlumprecht has been a faculty member in the Department of Mathematics at Texas A&M University in College Station, where he currently holds the rank of Professor.[3] Moreover, since 2013, he has also served as an adjunct professor at the faculty of Electrical Engineering, Czech Technical University,[4][3] located in Prague, Czech Republic.

He served as an International editor of the Glasgow Mathematical Journal from 1999 to 2018.[2][5] He held the position of associate editor for the Proceedings of the American Mathematical Society[6] from 2010 to 2017 and has been an associate editor of the Journal of Functional Analysis since 2017.

He was appointed a Fellow of the American Mathematical Society in 2016.[1]

Work

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Thomas Schlumprecht has made contributions to mathematical research, authoring 77 research articles.[2]

In 1991, he constructed the first known arbitrarily distortable Banach space, and subsequently, he and Edward Odell jointly solved the Distortion Problem in Hilbert space.[7][8] Their work on the Distortion Problem was published in Acta Mathematica, in 1994 and presented at the International Congress of Mathematicians in Zürich in the same year.[8]

Schlumprecht, along with Richard Gardner and Alexander Koldobsky, presented a uniform solution to the Busemann-Petty Problem for all dimensions, which was published in the Annals of Mathematics.[9][10]

In collaboration with Andras Zsak and Daniel Freeman, he solved a problem posed by Albrecht Pietsch and proved that the algebra of operators on several classical Banach spaces has continuum many closed sub-ideals.[11][12]

Selected publications

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Articles

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  • Schlumprecht, T. (1991). "An arbitrarily distortable Banach space". Israel J. Math. 76 (1-2). pp. 81–95.[7]
  • Odell, E.; Schlumprecht, T. (1994). "The distortion problem". Acta Math. 173 (2). pp. 259–281.[8]
  • Knaust, H.; Odell, E.; Schlumprecht, T. (1999). "On asymptotic structure, the Szlenk index and UKK properties in Banach spaces". Positivity 3 (2). pp. 173–200.
  • Gardner, R. J.; Koldobsky, A.; Schlumprecht, T. (1999). "An analytic solution to the Busemann-Petty problem on sections of convex bodies". Annals of Mathematics. pp. 691–703.[9]
  • Odell, E.; Schlumprecht, T. (2002). "Trees and branches in Banach spaces". Transactions of the American Mathematical Society 354 (10). pp. 4085–4108.
  • Odell, E.; Schlumprecht, T. (2006). "A separable reflexive space universal for the uniformly convex Banach spaces". Math. Annalen 335. pp. 901–916.
  • Freeman, D.; Odell, E.; Schlumprecht, T. (2011). "The universality of ℓ 1 as a dual space". Mathematische Annalen 351 (1). pp. 149–186.
  • Haydon, R.; Odell, E.; Schlumprecht, T. (2011). "Small subspaces of L p". Annals of mathematics. pp. 169–209.
  • Baudier, F.; Lancien, G.; Schlumprecht, T. (2018). "The coarse geometry of Tsirelson's space and applications". Journal of the American Mathematical Society 31 (3). pp. 699–717.
  • Schlumprecht, T.; Zsák, A. (2018). "The algebra of bounded linear operators\\break on ℓp⊕ ℓp has infinitely many closed ideals". Journal für die reine und angewandte Mathematik (Crelles Journal) 2018 (735).[12]
  • Freeman, D.; Schlumprecht, T.; Zsák, A. (2017). "Closed ideals of operators between the classical sequence spaces". Bulletin of the London Mathematical Society 49 (5). pp. 859–876.[11]
  • Lechner, R.; Motakis, P.; Müller, P. F. X.; Schlumprecht, T. (2022). "The space L1(Lp) is primary for 1 < p < ∞". Forum of Mathematics, Sigma 10. pp. e32.

References

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Vorlage:Reflist

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{{draft categories| [[Category:1954 births]] [[Category:Living people]] [[Category:20th-century German mathematicians]] [[Category:21st-century German mathematicians]] [[Category:Functional analysts]] [[Category:Mathematical analysts]] [[Category:Texas A&M University alumni]] [[Category:Texas A&M University faculty]] [[Category:Fellows of the American Mathematical Society]] [[Category:Mathematicians]] [[Category:American mathematicians]] [[Category:German mathematicians]] [[Category:Functional analysis]] [[Category:Convex geometry]] [[Category:Probability theory]] [[Category:Ludwig Maximilian University of Munich alumni]] [[Category:University of Texas at Austin faculty]] [[Category:Louisiana State University faculty]] [[Category:Banach spaces]]}}

  1. ↑ a b Fellows of the American Mathematical Society. In: American Mathematical Society. Abgerufen am 21. Juni 2023 (englisch).
  2. ↑ a b c Thomas Schlumprecht. In: scholar.google.com. Abgerufen am 21. Juni 2023.
  3. ↑ a b c d Thomas Schlumprecht. In: people.tamu.edu. Abgerufen am 21. Juni 2023.
  4. ↑ Staff. In: CTU - Faculty of Electrical Engineering. Abgerufen am 21. Juni 2023 (englisch).
  5. ↑ Search. In: projecteuclid.org. Abgerufen am 21. Juni 2023.
  6. ↑ Denka Kutzarova, Pei-Kee Lin: Remarks about Schlumprecht space. In: Proceedings of the American Mathematical Society. 128. Jahrgang, Nr. 7, 2000, ISSN 0002-9939, S. 2059–2068, doi:10.1090/S0002-9939-99-05248-X (englisch, ams.org).
  7. ↑ a b Thomas Schlumprecht: An arbitrarily distortable Banach space. In: Israel Journal of Mathematics. 76. Jahrgang, Nr. 1, 1. Oktober 1991, ISSN 1565-8511, S. 81–95, doi:10.1007/BF02782845 (englisch, doi.org).
  8. ↑ a b c Edward Odell, Thomas Schlumprecht: The distortion problem. In: Acta Mathematica. 173. Jahrgang, Nr. 2, ISSN 0001-5962, S. 259–281, doi:10.1007/BF02398436 (projecteuclid.org).
  9. ↑ a b Shibboleth Authentication Request. In: login.srv-proxy1.library.tamu.edu. Abgerufen am 21. Juni 2023 (10.2307/120978).
  10. ↑ An analytic solution to the Busemann-Petty problem on sections of convex bodies.
  11. ↑ a b D. Freeman, Th. Schlumprecht, A. Zsák: Addendum: Closed ideals of operators between the classical sequence spaces: ( Bull. Lond. Math. Soc . 49 (2017) 859–876). In: Bulletin of the London Mathematical Society. 53. Jahrgang, Nr. 2, ISSN 0024-6093, S. 593–595, doi:10.1112/blms.12444 (englisch, wiley.com).
  12. ↑ a b Thomas Schlumprecht, András Zsák: The algebra of bounded linear operators\break on ℓp ⊕ ℓp has infinitely many closed ideals. In: Journal für die reine und angewandte Mathematik (Crelles Journal). 2018. Jahrgang, Nr. 735, 1. Februar 2018, ISSN 1435-5345, S. 225–247, doi:10.1515/crelle-2015-0021 (englisch, degruyter.com).
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