Trond A. Abrahamsen
University of Agder
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Publication
Featured researches published by Trond A. Abrahamsen.
Glasgow Mathematical Journal | 2014
Trond A. Abrahamsen; Vegard Lima; Olav Nygaard
A natural class of ideals, almost isometric ideals, of Banach spaces is defined and studied. The motivation for working with this class of subspaces is our observation that they inherit diameter 2 properties and the Daugavet property. Lindenstrauss spaces are known to be the class of Banach spaces that are ideals in every superspace; we show that being an almost isometric ideal in every superspace characterizes the class of Gurariy spaces.
Demonstratio Mathematica | 2017
Trond A. Abrahamsen; André Martiny; Aleksander Leraand; Olav Nygaard
Abstract We show that Müntz spaces, as subspaces of C[0, 1], contain asymptotically isometric copies of c0 and that their dual spaces are octahedral.
arXiv: Functional Analysis | 2013
Trond A. Abrahamsen; Vegard Lima; Olav Nygaard
Journal of Mathematical Analysis and Applications | 2006
Trond A. Abrahamsen; Olav Nygaard; Märt Põldvere
Journal of Mathematical Analysis and Applications | 2016
Trond A. Abrahamsen; Johann Langemets; Vegard Lima
Studia Mathematica | 2016
Trond A. Abrahamsen; Petr Hájek; Olav Nygaard; Jarno Talponen; Stanimir Troyanski
Extracta mathematicae | 2015
Trond A. Abrahamsen
arXiv: Functional Analysis | 2014
Trond A. Abrahamsen; Johann Langemets; Vegard Lima; Olav Nygaard
Mathematica Scandinavica | 2014
Trond A. Abrahamsen
Czechoslovak Mathematical Journal | 2008
Trond A. Abrahamsen; Åsvald Lima; Vegard Lima
