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- Åsvald Lima, Olav Nygaard, Eve Oja
- 2000

Using an isometric version of the Davis, Figiel, Johnson, and Peŀczyński factorization of weakly compact operators, we prove that a Banach spaceX has the approximation property if and only if, for… (More)

- Åsvald Lima, Eve Oja
- 2005

We introduce and investigate the weak metric approximation property of Banach spaces which is strictly stronger than the approximation property and at least formally weaker than the metric… (More)

- Peter Harmand, Åsvald Lima
- 1984

We investigate Banach spaces X such that X is an M-ideal in X**. Subspaces, quotients and cO-sums of spaces which are M-ideals in their biduals are again of this type. A nonreflexive space X which is… (More)

- Åsvald Lima, David Yost
- 1988

- Åsvald Lima
- 1972

- Åsvald Lima, Vegard Lima, Eve Oja
- 2010

Let X be a Banach space. For describing the space P(C[0,1],X) of absolutely summing operators from C[0,1] to X in terms of the space X itself, we construct a tree space l1tree(X) on X. It consists of… (More)

- Åsvald Lima
- 1993

We show that ifE is a Banach space with the Radon-Nikodym property thenE has the metric approximation property if and only if the space of finite rank operators is locally complemented in the space… (More)

- Åsvald Lima, Eve Oja
- 1999

- Åsvald Lima, Eve Oja
- 2002

Let X C Y be Banach spaces and let A C B be closed operator ideals. Let Z be a Banach space having the Radon-Nikodym property. The main results are as follows. If Φ: A(Z,X)* → B(Z, Y)* is a… (More)

We show that a Banach spaces X has the compact approx- imation property if and only if for every Banach space Y and every weakly compact operator T : Y ! X, the space E = {S T : S compact operator on… (More)