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Trond Arnold Abrahamsen

Førsteamanuensis

 
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; Fonf, Vladimir P.; Smith, Richard J.; Troyanski, Stanimir (2018). Polyhedrality and decomposition. Quarterly Journal of Mathematics. ISSN: 0033-5606. 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. 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.
  • 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; 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 (2015). Diameter 2 properties in Banach spaces.

Sist endret: 21.06.2018 14:06

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