Strong convergence theorems for commutative semigroups of continuous linear operators on Banach spaces

被引：4

作者：

Eshita, K ^{[1
]}

Takahashi, W ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2005年 / 9卷 / 04期

关键词：

Banach space; continuous linear operator; commutative semigroup; ergodic theorem; iterative process; mean; strongly regular sequence;

D O I：

10.11650/twjm/1500407882

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first prove a strong convergence theorem of Mann's type for a commutative family of continuous linear operators in a Banach space by using strongly regular sequences of means on commutative semigroups. Using this, we obtain various strong convergence theorems for continuous linear operators in a Banach space.

引用

页码：531 / 550

页数：20

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