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$$s$$-numbers and interpolation. (English) Zbl 1212.46106
Summary: We establish some estimates for Gelfand and Kolmogorov numbers of the interpolation operator in the multidimensional case. We also analyse the interpolation property of operator ideals defined by Gelfand and Kolmogorov numbers.
##### MSC:
 46M35 Abstract interpolation of topological vector spaces 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
##### Keywords:
interpolation spaces; $$S-$$numbers; operator ideals