Weyl numbers versus Z-Weyl numbers

被引：0

作者：

Carl, Bernd ^{[1
]}

Defant, Andreas

Planer, Doris ^{[2
,3
]}

机构：

[1] FSU Jena, Math Inst, D-07743 Jena, Germany

[2] Carl von Ossietzky Univ Oldenburg, Inst Math, D-26111 Oldenburg, Germany

[3] Ernst Abbe Fachhsch Jena, Fachbereich Grundlagenwissensch, D-07743 Jena, Germany

来源：

STUDIA MATHEMATICA | 2014年 / 223卷 / 03期

关键词：

s-numbers; Weyl numbers; geometry of Banach spaces; BANACH-SPACES; S-NUMBERS; OPERATORS; INEQUALITIES; EIGENVALUES;

D O I：

10.4064/sm223-3-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an infinite-dimensional Banach space Z (substituting the Hilbert space l(2)), the s-number sequence of Z-Weyl numbers is generated by the approximation numbers according to the pattern of the classical Weyl numbers. We compare Weyl numbers with Z-Weyl numbers-a problem originally posed by A. Pietsch. We recover a result of Hinrichs and the first author showing that the Weyl numbers are in a sense minimal. This emphasizes the outstanding role of Weyl numbers within the theory of eigenvalue distribution of operators between Banach spaces.

引用

页码：233 / 250

页数：18

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