ISOMETRIES OF NON-SELF-ADJOINT OPERATOR-ALGEBRAS

被引：33
作者：
ARAZY, J
SOLEL, B
机构：
[1] Department of Mathematics, University of Haifa, Haifa
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 90卷 / 02期
关键词：
D O I：
10.1016/0022-1236(90)90085-Y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study isometries of certain non-self-adjoint operator algebras by means of the structure of the complete holomorphic vector fields on their unit balls and the associated partial Jordan triple products. We show that isometries of nest sub-algebras of B(H) are of the form T {mapping} UTW or T {mapping} UJT*JW, where U, W are suitable unitary operators and J a fixed involution of H. © 1990.
引用
收藏
页码：284 / 305
页数：22
相关论文
共 32 条
[1]  
Arazy J., 1987, LECT NOTES MATH, V1267, P122
[2]  
Arveson W., 1976, INVITATION C ALGEBRA, V39
[3]  
Arveson W., 1969, ACTA MATH, V123, P141, DOI [10.1007/BF02392388, DOI 10.1007/BF02392388]
[4]  
Bonsall F. F., 1971, LONDON MATH SOC LECT, V2
[5]   AUTOMORPHISMS OF CIRCULAR AND REINHARDT DOMAINS IN COMPLEX BANACH-SPACES [J].
BRAUN, R ;
KAUP, W ;
UPMEIER, H .
MANUSCRIPTA MATHEMATICA, 1978, 25 (02) :97-133
[6]   DERIVATIONS OF NEST ALGEBRAS [J].
CHRISTENSEN, E .
MATHEMATISCHE ANNALEN, 1977, 229 (02) :155-161
[7]  
DAVIDSON KR, 1988, RES NOTES MATH, V0191
[8]  
ERDOS JA, 1968, J LOND MATH SOC, V43, P391
[9]  
FALL T, 1979, J OPERAT THEOR, V1, P137
[10]  
HARRIS LA, 1981, P LOND MATH SOC, V42, P331
1234