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Bulletin of the London Mathematical Society 1994 26(5):465-471; doi:10.1112/blms/26.5.465
© 1994 by London Mathematical Society
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© London Mathematical Society

Remarks on Interpolation Properties of Schatten Classes

Fernando Cobos and María Antonia García-Davía

Departamento de Economía Universidad Carlos III de Madrid Calle Madrid 126 28903 Getafe (Madrid) Spain
Departamento de Ingeniería Universidad Carlos III de Madrid Avda. Mediterráneo 20 28913 Leganés (Madrid) Spain

Received 3 March 1993.

We show that the behaviour under interpolation of S1-class operators is not as good as it was supposed to be. An interpolation formula for Hilbert–Schmidt operators is also established.

current address Departamento de Análisis Matemático Facultad de Matemáticas Universidad Complutense de Madrid 28040 Madrid Spain

current address Departamento de Matemáticas Facultad de Ciencias Universidad Autónoma de Madrid 28049 Madrid Spain


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