SPECTRUM PRESERVING LINEAR MAPPING SIN BANACH-ALGEBRAS

被引：76

作者：

AUPETIT, B ^{[1
]}

MOUTON, HDT ^{[1
]}

机构：

[1] UNIV ORANGE FREE STATE,DEPT MATH,BLOEMFONTEIN 9300,SOUTH AFRICA

来源：

STUDIA MATHEMATICA | 1994年 / 109卷 / 01期

关键词：

D O I：

10.4064/sm-109-1-91-100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and B be two unitary Banach algebras. We study linear mappings from A into B which preserve the polynomially convex hull of the spectrum. In particular, we give conditions under which such surjective linear mappings are Jordan morphisms.

引用

页码：91 / 100

页数：10

共 8 条

[1]

AUPETIT B, 1991, PRIMER SPECTRAL THEO

[2]

AUPETIT B, 1979, LECTURE NOTES MATH, V735

[3]

Herstein I.N., 1969, TOPICS RING THEORY

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

JAFARIAN, AA ;

SOUROUR, AR .

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

[5]

KAPLANSKY I, 1970, ALGEBRAIC ANAL ASPEC

[6]

Marcus M., 1959, CAN J MATH, V11, P383

[7] ON RANK-ONE AND FINITE-ELEMENTS OF BANACH-ALGEBRAS [J].

MOUTON, T ;

RAUBENHEIMER, H .

STUDIA MATHEMATICA, 1993, 104 (03) :211-219

[8]

[No title captured]

← 1 →