Geometric interpolation in symmetrically-normed ideals

被引：1

作者：

Conde, Cristian ^{[1
]}

机构：

[1] IAM CONICET, RA-1083 Buenos Aires, DF, Argentina

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 429卷 / 04期

关键词：

complex interpolation method; Finsler norm; symmetrically-normed ideal;

D O I：

10.1016/j.laa.2008.04.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to apply the complex interpolation method to norms of n-tuples of operators in a symmetrically-normed ideal J (phi) subset of B(H) defined by a phi symmetric norming function (s.n.f.). The norms considered define Finsler metrics in a certain manifold of positive operators, and can be regarded as weighted phi-norms, the weight being a positive invertible operator. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：819 / 834

页数：16

共 20 条

[1]

Bergh J., 1976, Interpolation spaces. An introduction

[2] On the exponential metric increasing property [J].

Bhatia, R .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 375 :211-220

[3]

Calderon A.-P., 1964, Studia Math., V24, P113, DOI DOI 10.4064/SM-24-2-113-190

[4] Geometric interpolation in p-Schatten class [J].

Conde, Cristian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (02) :920-931

[5] AN OPERATOR-INEQUALITY [J].

CORACH, G ;

PORTA, H ;

RECHT, L .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 142 :153-158

[6]

CURTO R, 1991, ELEMENTARY OPERATION, P3

[7]

DELAHARPE P, 1972, LECT NOTES MATH

[8]

Fujii J. I., 1989, Math. Japon., V34, P341

[9]

Gohberg I.C., 1969, Introduction to the theory of linear nonselfadjoint operators, V18, pxv+378

[10] Comparison of various means for operators [J].

Hiai, F ;

Kosaki, H .

JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 163 (02) :300-323

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