Trond Arnold Abrahamsen
Professor
- Office:
- J2021 ( Universitetsveien 25, Kristiansand )
Educational background
M.Sc. Mathematics Education, Department of Mathematical Sciences, Agder University College, 2001.
Ph.D. Dr. Scient in mathematics (Functional analysis), Department of Mathematics University of Bergen, 2007.
Teaching quaifications
Postgraduate Certificate in Education, Agder University College, 1999.
Professional experience
2001 - 2002: Assistent Professor at the Department of Mathematical Sciences, Agder University College.
2002 - 2006: PhD student at the Department Mathematics, University of Bergen.
2006 - 2007: Assistent Professor at the Department of Mathematical Sciences, Agder University College.
2007 - current day: Associate Professor at the Department of Mathematical Sciences, University of Agder.
Academic interests
Geometry of Banach spaces.
Are teaching a large selection of the courses in mathematics at the department.
Scientific publications
- Abrahamsen, Trond Arnold; Aliaga, Ramon J.; Lima, Vegard; Martiny, Andre; Perreau, Yoël; Prochazka, Antonín; Veeorg, Triinu (2024). A relative version of Daugavet points and the Daugavet property. Studia Mathematica. ISSN: 0039-3223. 279 (3). s 191 - 241. doi:10.4064/sm240118-2-8.
- Abrahamsen, Trond Arnold; Aliaga, Ramon J.; Lima, Vegard; Martiny, Andre; Perreau, Yoël; Prochazka, Antonín; Veeorg, Triinu (2024). Delta-points and their implications for the geometry of Banach spaces. Journal of the London Mathematical Society. ISSN: 0024-6107. 109 (5). doi:10.1112/jlms.12913.
- Abrahamsen, Trond Arnold; Lima, Vegard; Martiny, Andre; Perreau, Yoël (2022). Asymptotic geometry and Delta-points. Banach Journal of Mathematical Analysis. ISSN: 2662-2033. 16doi:10.1007/s43037-022-00210-9.
- Abrahamsen, Trond Arnold; Lima, Vegard; Martiny, Andre (2022). Delta-points in Banach spaces generated by adequate families. Illinois Journal of Mathematics. ISSN: 0019-2082. 66 (3). s 421 - 434. doi:10.1215/00192082-10123638.
- Abrahamsen, Trond Arnold; Lima, Vegard; Martiny, Andre; Troyanski, Stanimir (2021). Daugavet- and delta-points in Banach spaces with unconditional bases. Transactions of the American Mathematical Society - Series B. ISSN: 2330-0000. 8 (13). s 379 - 398. doi:10.1090/btran/68.
- Abrahamsen, Trond Arnold; Hájek, Petr; Troyanski, Stanimir (2020). Almost square dual Banach spaces. Journal of Mathematical Analysis and Applications. ISSN: 0022-247X. 487 (2). doi:10.1016/j.jmaa.2020.124003.
- Abrahamsen, Trond Arnold; Becerra Guerrero, Julio; Haller, Rainis; Lima, Vegard; Poldvere, Mert (2019). Banach spaces where convex combinations of relatively weakly open subsets of the unit ball are relatively weakly open. Studia Mathematica. ISSN: 0039-3223. 250 (3). s 297 - 320. doi:10.4064/sm181016-10-1.
- Abrahamsen, Trond Arnold; Haller, Rainis; Lima, Vegard; Pirk, Katriin (2020). Delta- and Daugavet points in Banach spaces. Proceedings of the Edinburgh Mathematical Society. ISSN: 0013-0915. 63 (2). s 475 - 496. doi:10.1017/S0013091519000567.
- Abrahamsen, Trond Arnold; Dovland, Olav; Poldvere, Mert (2019). New applications of extremely regular function spaces. Pacific Journal of Mathematics. ISSN: 0030-8730. doi:10.2140/pjm.2019.301.385.
- Abrahamsen, Trond Arnold; Dovland, Olav Kristian; Põldvere, Märt (2019). New applications of extremely regular function spaces. Pacific Journal of Mathematics. ISSN: 0030-8730. 301 (2). s 385 - 394. doi:10.2140/pjm.2019.301.385.
- Abrahamsen, Trond Arnold; Fonf, Vladimir P.; Smith, Richard J.; Troyanski, Stanimir (2018). Polyhedrality and decomposition. Quarterly Journal of Mathematics. ISSN: 0033-5606. 70 (2). s 409 - 427. doi:10.1093/qmath/hay050.
- Abrahamsen, Trond Arnold; Lima, Vegard (2018). Relatively weakly open convex combinations of slices. Proceedings of the American Mathematical Society. ISSN: 0002-9939. 146 (10). s 4421 - 4427. doi:10.1090/proc/14120.
- Abrahamsen, Trond Arnold; Hájek, Petr; Nygaard, Olav Kristian; Troyanski, Stanimir (2017). Strongly Extreme Points and Approximation Properties. Canadian Mathematical Bulletin (CMB). ISSN: 0008-4395. 61 (3). s 449 - 457. doi:10.4153/CMB-2017-067-3.
- Abrahamsen, Trond Arnold; Martiny, Andre; Leraand, Aleksander; Nygaard, Olav Kristian (2017). Two properties of Müntz spaces. Demonstratio Matematicae. ISSN: 0420-1213. 50 (1). s 239 - 244. doi:10.1515/dema-2017-0025.
- Abrahamsen, Trond Arnold; Langemets, Johann; Lima, Vegard (2016). Almost square Banach spaces. Journal of Mathematical Analysis and Applications. ISSN: 0022-247X. 434 (2). s 1549 - 1565. doi:10.1016/j.jmaa.2015.09.060.
- Abrahamsen, Trond Arnold; Hájek, Petr; Nygaard, Olav Kristian; Talponen, Jarno; Troyanski, Stanimir (2016). Diameter 2 properties and convexity. Studia Mathematica. ISSN: 0039-3223. 232 (3). s 227 - 242. doi:10.4064/sm8317-4-2016.
- Lima, Vegard; Abrahamsen, Trond Arnold; Nygaard, Olav Kristian; Troyanski, Stanimir (2016). Diameter two properties, convexity and smoothness. Milan Journal of Mathematics. ISSN: 1424-9286. 84 (2). s 231 - 242. doi:10.1007/s00032-016-0258-1.
- Abrahamsen, Trond Arnold (2016). Linear extensions, almost isometries, and diameter two. Extracta Mathematicae. ISSN: 0213-8743. 30 (2). s 135 - 151.
- Abrahamsen, Trond Arnold; Langemets, Johann; Lima, Vegard; Nygaard, Olav Kristian (2015). On thickness and thinness of Banach spaces. Houston Journal of Mathematics. ISSN: 0362-1588. 41 (1). s 97 - 111.
- Abrahamsen, Trond Arnold; Lima, Vegard; Nygaard, Olav Kristian (2014). Almost isometric ideals in Banach spaces. Glasgow Mathematical Journal. ISSN: 0017-0895. 56 (2). s 395 - 407. doi:10.1017/S0017089513000335.
- Abrahamsen, Trond Arnold (2014). Strict u-ideals and u-summands in banach spaces. Mathematica Scandinavica. ISSN: 0025-5521. 114 (2). s 216 - 225. doi:10.7146/math.scand.a-17108.
- Abrahamsen, Trond Arnold; Lima, Vegard; Nygaard, Olav Kristian (2013). Remarks on Diameter 2 properties. Journal of Convex Analysis. ISSN: 0944-6532. 20 (2). s 439 - 452.
- Abrahamsen, Trond Arnold; Lima, Vegard; Dovland, Olav (2013). Remarks on diameter 2 properties. Journal of Convex Analysis. ISSN: 0944-6532.
- Abrahamsen, Trond Arnold; Nygaard, Olav (2011). ON lambda-STRICT IDEALS IN BANACH SPACES. Bulletin of the Australian Mathematical Society. ISSN: 0004-9727. 83 (2). s 231 - 240. doi:10.1017/S0004972710001735.
- Abrahamsen, Trond Arnold; Nygaard, Olav (2011). On λ-strict ideals in banach spaces. Bulletin of the Australian Mathematical Society. ISSN: 0004-9727. 83 (2). s 231 - 240. doi:10.1017/S0004972710001735.
- Abrahamsen, Trond Arnold; Lima, Vegard; Lima, Åsvald (2009). UNCONDITIONAL IDEALS OF FINITE RANK OPERATORS II. Houston Journal of Mathematics. ISSN: 0362-1588. 35 (2). s 627 - 646.
- Lima, Åsvald; Abrahamsen, Trond Arnold; Lima, Vegard (2008). Unconditional ideals of finite rank operators. Czechoslovak Mathematical Journal. ISSN: 0011-4642. 58 (4). s 1257 - 1278.
- Nygaard, Olav Kristian; Abrahamsen, Trond Arnold; Poldvere, Mert (2006). On weak integrability and boundedness in Banach spaces. Journal of Mathematical Analysis and Applications. ISSN: 0022-247X. 314s 67 - 74.
- Abrahamsen, Trond Arnold (2006). Weak metric approximation properties and nice projections. Acta et Commentationes Universitatis Tartuensis de Mathematica. ISSN: 1406-2283. 10s 31 - 39.
- Abrahamsen, Trond Arnold (2021). Almost square Banach spaces and relatives.
Sectors
Last changed: 30.05.2022 06:05