Abstract
We investigate whether the approximation numbers of operators behave well un- der the two-sided complex interpolation of Hilbert spaces. We study geometric interpolation of the approximation numbers as well as the entropy moduli. We also study geometric properties of the entropy and approximation numbers of operators between Hilbert spaces. In particular, we provide the quantitative estimates of approximation numbers as well as the interpolation results on normal operators.
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More From: Annales Academiae Scientiarum Fennicae Mathematica
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