Universitetet i Agder

Vegard Lima

Professor

Department of Mathematical Sciences >

vegard.lima@uia.no

+47 37 23 30 42

+47 957 43 577

Office:: J2047 ( Universitetsveien 25, Kristiansand )

Educational background:

M.Sc. University of Oslo, 1999.

Dr. Scient. University of Bergen, 2004.

Work experience:

1999-2001: Lecturer, Agder university college.

2001-2004: Ph.D. student, Agder university college (University of Bergen) funded by Norwegian Research Council.

2004-2005: Lecturer, Agder university college.

2006-2009: Postdoctoral fellow, University of Missouri-Columbia, USA.

2009-2017: Associate professor, Ålesund university college/NTNU Ålesund.

Since 2017: Associate professor, University of Agder.

Academic interests

Functional analysis, geometry of Banach spaces.

Currect courses:

Ma-154, Mathematics 1

Projects

Diameter two properties of Banach spaces. Various projects with Tartu, Estonia and Granada, Spain.

Geometry of Banach spaces.

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.
Haller, Rainis; Langemets, Johann; Lima, Vegard; Nadel, Rihhard; Rueda Zoca, Abraham (2021). On Daugavet indices of thickness. Journal of Functional Analysis. ISSN: 0022-1236. 280 (7). s 1 - 21. doi:10.1016/j.jfa.2020.108846.
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.
Haller, Rainis; Langemets, Johann; Lima, Vegard; Nadel, Rihhard (2019). Symmetric strong diameter two property. Mediterranean Journal of Mathematics. ISSN: 1660-5446. 16:35 (2). s 1 - 17. doi:10.1007/s00009-019-1306-1.
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.
Langemets, Johann; Lima, Vegard; Rueda Zoca, Abraham (2016). Almost square and octahedral norms in tensor products of Banach spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. ISSN: 1578-7303. 111 (3). s 841 - 853. doi:10.1007/s13398-016-0324-0.
Langemets, Johann; Lima, Vegard; Zoca, Abraham Rueda (2017). Octahedral norms in tensor products of Banach spaces. Quarterly Journal of Mathematics. ISSN: 0033-5606. 68 (4). s 1247 - 1260. doi:10.1093/qmath/hax020.
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.
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; 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.
Lima, Åsvald; Lima, Vegard; Oja, Eve (2014). Absolutely summing operators on separable lindenstrauss spaces as tree spaces and the bounded approximation property. Banach Journal of Mathematical Analysis. ISSN: 2662-2033. 8 (1). s 190 - 210.
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; 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.
Lima, Åsvald; Lima, Vegard; Oja, Eve (2012). BOUNDED APPROXIMATION PROPERTIES IN TERMS OF C[0,1]. Mathematica Scandinavica. ISSN: 0025-5521. 110 (1). s 45 - 58. doi:10.7146/math.scand.a-15195.
Lima, Vegard; Randrianarivony, N. Lovasoa (2012). Property (beta) and uniform quotient maps. Israel Journal of Mathematics. ISSN: 0021-2172. 192 (1). s 311 - 323. doi:10.1007/s11856-012-0025-0.
Lima, Åsvald; Lima, Vegard; Oja, Eve (2010). Absolutely summing operators on C[0,1] as a tree space and the bounded approximation property. Journal of Functional Analysis. ISSN: 0022-1236. 259 (11). s 2886 - 2901.
Lima, Åsvald; Lima, Vegard; Oja, Eve (2010). Bounded approximation properties via integral and nuclear operators. Proceedings of the American Mathematical Society. ISSN: 0002-9939. 138 (1). s 287 - 297.
Lima, Vegard; Lima, Åsvald (2009). Strict u-ideals in Banach spaces. Studia Mathematica. ISSN: 0039-3223. 195 (3). s 275 - 285. doi:10.4064/sm195-3-6.
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; Lima, Vegard (2008). Geometry of spaces of compact operators. Arkiv för matematik. ISSN: 0004-2080. 46 (1). s 113 - 142. doi:10.1007/s11512-007-0060-y.
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.
Lima, Åsvald; Lima, Vegard (2007). A three-ball intersection property for u-ideals. Journal of Functional Analysis. ISSN: 0022-1236. 252 (1). s 220 - 232.
Lima, Vegard; Lima, Åsvald (2004). Ideals of operators and the metric approximation property. Journal of Functional Analysis. ISSN: 0022-1236. 210 (1). s 148 - 170.
Lima, Åsvald; Lima, Vegard; Nygaard, Olav Kristian (2004). On the compact approximation property. Studia Mathematica. ISSN: 0039-3223. 160 (2). s 185 - 200.
Lima, Vegard (2003). Approximation properties for dual spaces. Mathematica Scandinavica. ISSN: 0025-5521. 93 (2). s 297 - 319.

Gjesteland, Thomas; Lima, Vegard; Lunøe-Nielsen, Sverre A; Radmehr, Farzad; Goodchild, Simon (2021). Gruppebasert prosjektoppgave i matematikk: Veiledernes erfaringer.

Sectors

Last changed: 27.01.2020 12:01