THE TROTTER-KATO PRODUCT FORMULA FOR GIBBS SEMIGROUPS

被引:21
作者
NEIDHARDT, H
ZAGREBNOV, VA
机构
[1] Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna
关键词
D O I
10.1007/BF02161418
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The trace-norm convergence of the Trotter-Lie product formula has recently been proved for particular classes of Gibbs semigroups. In the present paper we prove it for the whole generality including generalization of the product formula proposed by Kato. © 1990 Springer-Verlag.
引用
收藏
页码:333 / 346
页数:14
相关论文
共 16 条
[1]  
[Anonymous], 1966, PERTURBATION THEORY
[2]  
BRATTELI O, 1981, OPERATOR ALGEBRAS QU, V22
[3]  
Cherno P. R., 1974, MEM AM MATH SOC, V140, P1
[4]   PRODUCT FORMULA FOR SEMIGROUPS DEFINED BY FRIEDRICHS ENTENSIONS [J].
FARIS, WG .
PACIFIC JOURNAL OF MATHEMATICS, 1967, 22 (01) :47-&
[5]  
Grumm H. R., 1973, Reports on Mathematical Physics, V4, P211, DOI 10.1016/0034-4877(73)90026-8
[6]  
Kato T., 1978, FUNC ANAL ADV MATH S, V3, P185
[7]  
Lapidus M L, 1982, PUBLICATIONS MATH, V46, P1701
[9]  
RUELLE D, 1969, STATISTICAL MECHANIC
[10]  
Simon B., 1979, TRACE IDEALTHEIR A