BANACH-ALGEBRAS SATISFYING THE NON-UNITAL VON-NEUMANN-INEQUALITY

被引:75
作者
DIXON, PG
机构
[1] Pure Mathematics Section, School of Mathematics and Statistics, University of Sheffield, Sheffield
关键词
D O I
10.1112/blms/27.4.359
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
There is a Banach algebra satisfying the von Neumann inequality for polynomials in a single variable, without constant term, which is not isomorphic to a norm-closed algebra of operators on a Hilbert space.
引用
收藏
页码:359 / 362
页数:4
相关论文
共 13 条
[1]  
Ando T., 1963, ACTA SCI MATH, V24, P88
[2]  
BELA SZ-NAGY, 1970, HARMONIC ANAL OPERAT
[3]  
Bohr H, 1914, P LOND MATH SOC, V13, P1
[4]  
DAY MM, 1957, ILLINOIS J MATH, V1, P509
[5]  
DEXON PG, 1977, ALGEBRA U, V7, P315
[6]  
Dixon P. G, 1976, GLASGOW MATH J, V17, P119
[7]   VARIETIES OF BANACH ALGEBRAS [J].
DIXON, PG .
QUARTERLY JOURNAL OF MATHEMATICS, 1976, 27 (108) :481-487
[8]  
DIXON PG, 1976, P EDINBURGH MATH SOC, V20, P215
[9]  
SEDON S, 1927, MATH Z, V26, P731
[10]  
Tomic M., 1962, MATH SCAND, V11, P103, DOI DOI 10.7146/MATH.SCAND.A-10653