My research papers.

My homepage (in Norwegian).
Our  Campus.
Some information about Norwegian mathematicians . (Abel, Lie, ... with some few photos. In Norwegian.)

The Banach Space Bulletin Board - Oklahoma State University.
The Mathematics ArXiv and Functional Analysis at Mathematics ArXiv .

My papers

Coauthor(s) Title Journal Download
(preprint)
-
On lifting the approximation property from a Banach space to its dual.
Proc. Amer. Math. Soc. 143 (2015) 213-217.

V. Lima and E. Oja Absolutely summing operators on separable Lindenstrauss spaces as  tree spaces and the bounded approximation property
BJMA 8 (2014) 190-210.

 V. Lima and E. Oja Absolutely summing operators on C(0,1) as a tree space and the bounded approximation property. J. Funct. Anal. 259 (2010) 2886-2901.  
 V. Lima and E. Oja Bounded approximation properties in terms of C(0,1). Math. Scand. 110 (2012) 45--58.
 
V. Lima and E. Oja
Bounded approximation properties via integral and nuclear operators.
Proc. Amer. Math. Soc. 138 (2010) 287--297.
PDF
V. Lima
Strict u-ideals in Banach spaces.
Studia Math. 195 (2009), 275-285
PDF
T. Abrahamsen and V. Lima
Unconditional ideals of finite rank operators II. Houston J. Math35 (2009) 627--646.
PDF
V. Lima
A three ball intersection property for u-ideals.
J. Funct. Anal.  252 (2007), 220-232.
PDF
T. Abrahamsen and V. Lima
Unconditional ideals of finite rank operators.
Czech. Math. J.  58 (2008) 1257--1278.
PDF
V. Lima
Geometry of spaces of compact operators.
Arkiv för Matematik  46 (2008), 113-142.
PDF
E. Oja.
Metric approximation properties.
In "Some Open Problems on Functional Analysis and Function Theory", Extracta Math. 20 (2005), 51-70.

E. Oja.
The weak metric approximation property.
Math. Annalen  333 (2005), 471-484 PDF PS
E. Oja.
Metric approximation properties and trace mappings .
Math. Nachrichten  280 (2007), 571-580.
PDF
V. Lima and
O. Nygaard.
On the compact approximation property.
(For a correction to Thm.22, see here.)
Studia Math. 160 (2004), 185-200
PDF
V. Lima. Ideals of operators and the metric approximation property.  J. Funct. Anal.  210 (2004), 148-170.
PDF
E. Oja Ideals of operators, approximability in the strong operator topology, and the approximation property.  Michigan Math. J. 52 (2004), no. 2, 253-265.
PDF
E. Oja. Hahn-Banach extension operators and spaces of operators.  Proc. AMS. 130 (2002), 3631-3640. PDF
E.Oja.  Ideals of compact operators Journal of the Australian Math. Soc.
 77 (2004), 91-110
PDF , PS .
O. Nygaard and E. Oja. Isometric factorization of weakly compact operators and the approximation property. Israel J. of Math. 119 (2000) 325-348.   PDF  
E. Oja. Ideals of finite rank operators, intersection properties of balls, and the approximation property. Studia Math. 133 (2) (1999), 175-186. 
- Property (wM*) and the unconditional metric compact approximation property.  Studia Math. 113 (3) (1995), 249-263
E. Oja, T.S.S.R.K. Rao and D. Werner Geometry of Operator Spaces. Michigan Math. J. 41 (1994), 473-490. 
- The metric approximation property, norm-one projections and intersection properties of balls.  Israel Jour. of Math. 84 (1993), 451-475. 
- The geometric structure of L(l_{\infty}(n),l 1 (n)).  ADH-serien 59 (1994). DVI
D. Yost Absolute Chebyshev subspaces.  Proc. of the Centre for Math. Analysis, Australian National University. 20 (1988), 116-127.
A.K. Roy The 5.4 intersection property implies L1 -preduals in the complex case Studia Math. LXXXIII (1986), 37-45.
G. Olsen Extreme points in duals of complex operator spaces.  Proc. Amer. Math. Soc. 94 (1985), 437-440.
A.K. Roy Characterizations of complex L1-preduals.  Quat. J. Math. Oxford. (2) 35 (1984), 439-453.
P. Harmand Banach spaces which are M-ideals in their biduals.  Trans. Amer. Math. Soc. 283 (1984), 253-264.
U. Uttersrud Symmerty centers in finite intersections of balls in Banach spaces.  Israel Jour. of Math. 44 (1983), 189-200.
- Uniqueness of Hahn-Banach extensions and liftings of linear dependencies.
(See the paper by E. Oja for corrections to my paper.)
Math. Scand. 53 (1983), 97-113.

A dual property of the quadrilateral inequality.   ADH, (1981) 7 pages.
G. Olsen and U. Uttersrud Intersections of M-ideals and G-spaces.  Pacific Jour. of Math. 104 (1983), 175-177.
- M-ideals and best approximation.  Indiana Univ. Math. J. 31 (1982), 27-36.
- Extreme operators on finite dimensional Banach spaces whose unit balls are polytopes.  Arkiv for matematik. 19 (1981), 97-116.
A. Hansen The structure of finite dimensional Banach spaces with the 3.2 intersection property.  Acta. Math. 146 (1981), 1-23.
- M-ideals of compact operators in classical Banach spaces.  Math. Scand. 44 (1979), 207-217.
- Banach spaces with the 4.3 intersection property.  Proc. Amer. Math. Soc. 80 (1980), 431-434.
- Intersection properties of balls in spaces of compact operators.  Annales de L'Institut Fourier. 28 (1978), 35-65.
- A note on the extension of compact operators.  Proc. Amer. Math. Soc. 64 (1977), 374-375.
- Intersection properties of balls and subspaces in Banach spaces.  Trans. Amer. Math. Soc. 227 (1977), 1-62.
- Intersection properties of balls and subspaces in Banach spaces.  Dr.philos thesis, Oslo, 1974.
- An application of a theorem of Hirsberg and Lazar.  Math. Scand. 38 (1976), 325-340 .
- Complex Banach spaces whose duals are L1 -spaces.  Israel J. Math. 24 (1976), 59-72.
- Closed faces with internal points.  J. London Math. Soc. (2) 9 (1974), 305-314.
- On simplicial and central measures and split faces.  Proc. London Math. Soc. (3) 26 (1973), 707-728.
- On continous convex functions and split faces.  Proc. London Math. Soc. (3) 25 (1972), 27-40.



Åsvald Lima, 17.09.2010