m-ISOMETRIC OPERATORS ON BANACH SPACES

被引：26

作者：

Ahmed, Ould Ahmed Mahmoud Sid ^{[1
]}

机构：

[1] Aljouf Univ, Coll Sci, Math Dept, Aljouf 2014, Saudi Arabia

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 3卷 / 01期

关键词：

m-isometry; m-invertibility; spectrum;

D O I：

10.1142/S1793557110000027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the class of m-isometric operators on Banach spaces. This generalizes to Baonach space the m-isometric operators on Hilbert space introduced by Agler and Stankus. We establish some basic properties and we introduce the notion of m-invertibility as a natural generalization of the invertibility on Banach spaces.

引用

页码：1 / 19

页数：19