Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

On interpolation of strictly singular operators, strictly co-singular operators and related operator ideals

F. Cobosa1, A. Manzanoa2, A. Martíneza3 and P. Matosa4*

a1 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain (cobos@eucmax.sim.ucm.es)

a2 Departamento de Economía Aplicada Cuantitativa, Facultad de C.C. Económicas y Empresariales, Universidad Nacional de Educación a Distancia, c/ Senda del Rey s/n, 28040 Madrid, Spain (amanzano@sr.uned.es)

a3 Departamento de Matemática Aplicada, E.T.S. Ingenieros Industriales, Universidad de Vigo, 36200 Vigo, Spain (antonmar@uvigo.es)

a4 ESTG, Instituto Politécnico de Leiria, 2400 Leiria, Portugal (matos@estg.iplei.pt)

Abstract

We improve the known results on interpolation of strictly singular operators and strictly co-singular operators in several directions. Applications are given to embeddings between symmetric spaces.

(Received January 22 1999)

(Accepted September 27 1999)

Footnotes

* Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain.