Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties

被引：62

作者：

Hatori, O ^{[1
]}

Miura, T

Takagi, H

机构：

[1] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

[2] Yamagarta Univ, Dept Basic Technol Appl Math & Phys, Yonezawa, Yamagata 9928510, Japan

[3] Shinshu Univ, Fac Sci, Dept Math Sci, Matsumoto, Nagano 3908621, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 10期

关键词：

uniform algebras; isometric isomorphisms; spectrum preserving map;

D O I：

10.1090/S0002-9939-06-08500-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a surjective mapping from a uniform algebra A on a compact Hausdor. space X onto a uniform algebra on a compact Hausdor. space Y. Suppose that fg(X) = T(f)T(g)(Y) holds for every f, g is an element of A. Then we have that T is an almost isometric isomorphism, which is a generalization of results of Molnar (2002) and Rao and Roy (2005).

引用

页码：2923 / 2930

页数：8

共 4 条

[1]

Browder A., 1969, INTRO FUNCTION ALGEB

[2] A CHARACTERIZATION OF MULTIPLICATIVE LINEAR FUNCTIONALS IN BANACH ALGEBRAS [J].

KOWALSKI, S ;

SLODKOWSKI, Z .

STUDIA MATHEMATICA, 1980, 67 (03) :215-223

[3] Some characterizations of the automorphisms of B(H) and C(X) [J].

Molnár, L .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (01) :111-120

[4] Multiplicatively spectrum-preserving maps of function algebras [J].

Rao, NV ;

Roy, AK .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (04) :1135-1142

← 1 →