Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

On interpolation of strictly (co-)singular linear operators

O. J. Beuchera1

a1 Universität Kaiserslautern, Erwin-Schrödinger-Strasse, D-6750 Kaiserslautern, Federal Republic of Germany

Synopsis

We show that the property of linear operators to be in the surjective hull (injective hull) of the ideal of strictly singular (strictly cosingular) operators between Banach spaces is an interpolation property with respect to the real interpolation method with parameters 0 < ủ < 1 and < p < ℞.

(Received September 28 1988)

(Revised December 14 1988)