INTERPOLATION OF APPROXIMATION NUMBERS BETWEEN HILBERT SPACES

被引：4

作者：

Szwedek, Radoslaw ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 01期

关键词：

Approximation numbers; entropy numbers; interpolation spaces; quadratic interpolation; normal operators; BANACH-SPACES; OPERATORS; EIGENVALUES; ENTROPY;

D O I：

10.5186/aasfm.2015.4014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate whether the approximation numbers of operators behave well under 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.

引用

页码：343 / 360

页数：18

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