Estimates of Approximation Numbers and Applications

被引：5

作者：

Shakhmurov, Veil ^{[1
]}

机构：

[1] Okan Univ, Dept Elect Engn & Commun, TR-34959 Istanbul, Turkey

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 09期

关键词：

Approximation numbers; Kolmogorov numbers; separable boundary value problems; differential-operator equations; Banach-valued function spaces; operator-valued multipliers; interpolation of Banach spaces; BOUNDARY-VALUE-PROBLEMS; BANACH-SPACES; EMBEDDINGS;

D O I：

10.1007/s10114-012-9547-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, the estimates of approximation numbers of embedding operators in weighted spaces have been analyzed. These estimates depend on orders of differential operators, dimensions of function spaces and weighted functions. This fact implies that the associated embedding operators belong to Schatten class of compact operators. By using these estimates, the discreetness of spectrum and completion of root elements relating to principal nonselfedjoint degenerate differential operators is obtained.

引用

页码：1883 / 1896

页数：14

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