Superstable semigroups of operators

被引：23

作者：

Rabiger, F ^{[1
]}

Wolff, MPH ^{[1
]}

机构：

[1] UNIV TUBINGEN,INST MATH,D-72076 TUBINGEN,GERMANY

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 1995年 / 6卷 / 04期

关键词：

D O I：

10.1016/0019-3577(96)81762-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [NR] the authors introduced the notion of superstable operators on a Banach space E using ultrapowers E(u) of E. In [HR] this notion was extended to strongly continuous one-parameter semigroups again by means of ultrapowers. It is the aim of the present paper to give an equivalent intrinsic definition of superstability (without the reference to ultrapowers). This definition allows us to improve the results of [NR] as well as of [HR]. We apply our results to semigroups of positive linear operators on Banach lattices and C*-algebras, respectively.

引用

页码：481 / 494

页数：14

共 16 条

[1] FROBENIUS THEORY FOR POSITIVE MAPS OF VONNEUMANN ALGEBRAS [J].