DISCUSSIONS ON PARTIAL ISOMETRIES IN BANACH SPACES AND BANACH ALGEBRAS

被引：2

作者：

Alahmari, Abdulla ^{[1
]}

Mabrouk, Mohamed ^{[1
,2
]}

Taoudi, Mohamed Aziz ^{[3
]}

机构：

[1] Coll Appl Sci, Dept Math, POB 715, Mecca 21955, Saudi Arabia

[2] Univ Gabes, Fac Sci Gabes, Dept Math, Zrig 6072, Gabes, Tunisia

[3] Cadi Ayyad Univ, Natl Sch Appl Sci, Marrakech, Morocco

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 02期

关键词：

C*-algebra; partial isometry; semi-partial isometry; TRANSFORMATIONS;

D O I：

10.4134/BKMS.b160055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is twofold. Firstly, we introduce the concept of semi-partial isometry in a Banach algebra and carry out a comparison and a classification study for this concept. In particular, we show that in the context of C*-algebras this concept coincides with the notion of partial isometry. Our results encompass several earlier ones concerning partial isometries in Hilbert spaces, Banach spaces and C*-algebras. Finally, we study the notion of (m, p)-semi partial isometries.

引用

页码：485 / 495

页数：11

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