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closed operator ideals

Proceedings of the Edinburgh Mathematical Society (1)

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INTERPOLATION METHODS DEFINED BY MEANS OF POLYGONS AND COMPACT OPERATORS
Luz M. Fernández-Cabrera, Antón Martínez
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 50 / Issue 3 / October 2007

Published online by Cambridge University Press:

08 January 2008, pp. 653-671
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We work with interpolation methods for $N$-tuples of Banach spaces associated with polygons. We compare necessary conditions for interpolating closed operator ideals with conditions required to interpolate compactness. We also establish a formula for the measure of non-compactness of interpolated operators.