On s-numbers, quasi s-numbers, s-moduli and Weyl inequalities of operators in Banach spaces

被引：10

作者：

Carl, Bernd ^{[1
]}

机构：

[1] Univ Jena, Fak Math & Informat, D-07743 Jena, Germany

来源：

REVISTA MATEMATICA COMPLUTENSE | 2010年 / 23卷 / 02期

关键词：

s-numbers; Approximation numbers; Eigenvalues; Weyl inequalities; VOLUME RATIO; EIGENVALUES;

D O I：

10.1007/s13163-009-0025-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we continue the investigations of the papers (Carl in Proc. Am. Math. Soc. 137:155-159, 2009, and Carl and Hinrichs in Bull. Lond. Math. Soc. 41:332-340, 2009) between s-numbers and eigenvalues of operators in Banach spaces. We introduce new s-numbers as well as quasi s-numbers generated by the classical s-numbers. An elementary mixing multiplicativity observed in (Carl in Proc. Am. Math. Soc. 137:155-159, 2009) will be very useful for establishing Weyl inequalities for operators in Banach spaces.

引用

页码：467 / 487

页数：21

共 25 条

[1]

[Anonymous], 1987, CAMBRIDGE STUDIES AD

[2]

[Anonymous], HDB GEOMETRY BANACH

[3] HILBERT-NUMBERS OF OPERATORS IN BANACH-SPACES [J].

BAUHARDT, W .

MATHEMATISCHE NACHRICHTEN, 1977, 79 :181-187

[4] ENTROPY NUMBERS, S-NUMBERS, AND EIGENVALUE PROBLEMS [J].

CARL, B .

JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 41 (03) :290-306

[5]

CARL B, 1991, ANAL MATH, V17, P183

[6]

CARL B, 1985, REV MAT IBEROAM, V1, P127

[7]

Carl B, 2009, P AM MATH SOC, V137, P155

[8] Optimal Weyl-type inequalities for operators in Banach spaces [J].

Carl, Bernd ;

Hinrichs, Aicke .

POSITIVITY, 2007, 11 (01) :41-55

[9] On s-numbers and Weyl inequalities of operators in Banach spaces [J].

Carl, Bernd ;

Hinrichs, Aicke .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 :332-340

[10]

Carl Bernd, 1990, Entropy, Compactness and the Approximation of Operators

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