Trond Arnold Abrahamsen
Professor
- Kontor:
- J2021 ( Universitetsveien 25, Kristiansand )
Utdanningsbakgrunn
Hovedfag (Cand. Scient.) i matematikkdidaktikk, Institutt for Matematiske fag, Høgskolen i Agder, 2001.
Doktorgrad (Dr. Scient.) i ren matematikk (Funksjonalanalyse), Matematisk institutt, Universitetet i Bergen, 2007.
Utdanningsfaglig kompetanse
Praktisk pedagogisk utdanning, Høgskolen i Agder, 1999.
Arbeidserfaring
2001 - 2002: Høgskolelektor ved Institutt for Matematiske fag, Høgskolen i Agder.
2002 - 2006: Doktorgradstipendiat ved Matematisk institutt, Universitetet i Bergen.
2006 - 2007: Høgskolelektor ved Institutt for Matematiske fag, Høgskolen i Agder.
2007 - d.d.: Førsteamanuensis ved Institutt for Matematiske fag, Universitetet i Agder.
Faglige interesser
Geometri i Banachrom.
Underviser et stort utvalg av emner i matematikk på instituttet.
Vitenskapelige publikasjoner
- 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.
Ekspertområder
Sist endret: 30.05.2022 06:05