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On interpolation of strictly (co-)singular linear operators

Published online by Cambridge University Press:  14 November 2011

O. J. Beucher
O. J. Beucher
Affiliation:
Universität Kaiserslautern, Erwin-Schrödinger-Strasse, D-6750 Kaiserslautern, Federal Republic of Germany
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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 < ℞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 3-4 , 1989 , pp. 263 - 269
Copyright
Copyright © Royal Society of Edinburgh 1989

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