共 50 条
Existence of well-behaved *-representations of locally convex *-algebras
被引:8
|作者:
Bhatt, SJ
[1
]
Fragoulopoulou, M
Inoue, A
机构:
[1] Sardar Patel Univ, Dept Math, Vallabh Vidyanagar 388120, Gujarat, India
[2] Univ Athens, Dept Math, Athens 15784, Greece
[3] Fukuoka Univ, Dept Appl Math, Jonan Ku, Fukuoka 8140180, Japan
关键词:
well-behaved *-representation;
unbounded m* - and C* -seminorm;
unbounded Gel'fand-Naimark C* -seminorrn;
D O I:
10.1002/mana.200310347
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The following problems are investigated: (1) The existence of well-behaved *-representations on a *-algebra A equipped with an unbounded m*-seminorm p, in terms of non-zero p-continuous representable (positive) linear functionals on the domain D(p) of p. (2) The existence of well-behaved *-representations of a locally convex *-algebra A, in terms of non-zero unbounded C*-seminorms on A with domain the *-subalgebra A(b) generated by the hermitian part of the Allan bounded set A(0) of A. (3) The existence of faithful well-behaved *-representations of a locally convex *-algebra A, in terms of the so-called unbounded Gel'fand-Naimark C*-seminorm on A. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码:86 / 100
页数:15
相关论文