Divisibility in the K0-group of the algebra of operators on a Banach space

Laustsen, Niels Jakob (2001) Divisibility in the K0-group of the algebra of operators on a Banach space. K-Theory, 22 (3). pp. 241-249. ISSN 0920-3036

Abstract

Let script F sign denote Figiel's reflexive Banach space which is not isomorphic to its Cartesian square. We show that the A0-group of the algebra ℬ(script F sign) of continuous, linear operators on script F sign contains a subgroup isomorphic to the group c00(ℕ, ℚ) of sequences (zn)n∈ℕ of rational numbers with zn = 0 eventually.