PRIME IDEALS AND AUTOMATIC CONTINUITY PROBLEMS FOR BANACH ALGEBRAS

被引：22

作者：

BADE, WG

CURTIS, PC

机构：

[1] Department of Mathematics, University of California, Los Angeles

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1978年 / 29卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-1236(78)90048-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Conditions are given for Banach algebras U and commutative Banach algebras B which insure that every homomorphism v from U into B is continuous. Similar results are obtained for derivations which either map the algebra U into itself or map the algebra into a suitable U-module. © 1978.

引用

页码：88 / 103

页数：16

共 18 条

[1]

ALLAN GR, 1972, P LOND MATH SOC, V25, P329

[2]

ALLAN GR, 1973, J LOND MATH SOC, V7, P462

[3] HOMOMORPHISMS OF COMMUTATIVE BANACH ALGEBRAS [J].

BADE, WG ;

CURTIS, PC .

AMERICAN JOURNAL OF MATHEMATICS, 1960, 82 (03) :589-608

[4]

BADE WG, 1974, J FUNCT ANAL, V16, P372

[5]

BADE WG, UNPUBLISHED

[6]

BANASCHEWSKI B, 1966, B ACAD POL SCI SMAP, V14, P137

[7]

CHRISTENSEN JPR, 1976, P AM MATH SOC, V57, P276

[8]

CUSACK J, 1977, J LOND MATH SOC, V16, P493

[9]

DALES HG, 1973, P LOND MATH SOC, V26, P69

[10] CONTINUITY OF MODULE AND HIGHER DERIVATIONS [J].

JEWELL, NP .

PACIFIC JOURNAL OF MATHEMATICS, 1977, 68 (01) :91-98

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