Hereditary properties of spectral isometries

被引：21

作者：

Mathieu, M ^{[1
]}

Sourour, AR

机构：

[1] Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

来源：

ARCHIV DER MATHEMATIK | 2004年 / 82卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1007/s00013-003-0595-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a unital surjective spectral isometry between von Neumann algebras one of which is of type I is a Jordan isomorphism. This is based on a study of some hereditary properties of spectral isometries.

引用

页码：222 / 229

页数：8

共 18 条

[1]

[Anonymous], J FUNCT ANAL

[2] Spectrum-preserving linear mappings between Banach algebras or Jordan-Banach algebras [J].

Aupetit, B .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 :917-924

[3] SPECTRAL CHARACTERIZATION OF THE RADICAL IN BANACH AND JORDAN-BANACH ALGEBRAS [J].

AUPETIT, B .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1993, 114 :31-35

[4]

BOTTA P, 1984, PAC J MATH, V104, P39

[5] Linear maps preserving the spectral radius [J].

Bresar, M ;

Semrl, P .

JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 142 (02) :360-368

[6] The spectrally bounded linear maps on operator algebras [J].

Cui, J ;

Hou, J .

STUDIA MATHEMATICA, 2002, 150 (03) :261-271

[7]

Fack T., 1980, Ann. Inst. Fourier, V30, P49, DOI [10.5802/aif.792, DOI 10.5802/AIF.792]

[8]

HALPERN H, 1969, T AM MATH SOC, V140, P195, DOI 10.2307/1995133

[9] SPECTRUM-PRESERVING LINEAR-MAPS [J].

JAFARIAN, AA ;

SOUROUR, AR .

JOURNAL OF FUNCTIONAL ANALYSIS, 1986, 66 (02) :255-261

[10] Spectrally bounded operators on simple C*-algebras [J].

Mathieu, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (02) :443-446

← 1 2 →