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

共 50 条

[41] Stability Characterizations of ε-isometries on Certain Banach Spaces
Li Xin CHENG
Long Fa SUN
[J]. Acta Mathematica Sinica,English Series, 2019, (01) : 123 - 134
[42] Stability of almost surjective ε-isometries of Banach spaces
Vestfrid, Igor A.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 269 (07) : 2165 - 2170
[43] Surjective isometries on Banach sequence spaces: A survey
Antunes, Leandro
Beanland, Kevin
[J]. CONCRETE OPERATORS, 2022, 9 (01): : 19 - 40
[44] ISOMETRIES OF DIAGONALLY SYMMETRIC BANACH-SPACES
GORDON, Y
LEWIS, DR
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1977, 28 (1-2) : 45 - 67
[45] Intertwining Conditions for Two Isometries on Banach Spaces
Heybetkulu Mustafayev
[J]. Complex Analysis and Operator Theory, 2023, 17
[46] Stability Characterizations of ε-isometries on Certain Banach Spaces
Cheng, Li Xin
Sun, Long Fa
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (01) : 123 - 134
[47] Isometries of some Banach spaces of analytic functions
Hornor, W
Jamison, JE
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2001, 41 (04) : 410 - 425
[48] A NOTE ON THE STABILITY OF NONSURJECTIVE ε-ISOMETRIES OF BANACH SPACES
Cheng, Lixin
Dong, Yunbai
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (11) : 4837 - 4844
[49] A note on banach partial *-algebras
Jean-Pierre Antoine
Camillo Trapani
[J]. Mediterranean Journal of Mathematics, 2006, 3 : 67 - 86
[50] BANACH PARTIAL *-ALGEBRAS: AN OVERVIEW
Antoine, J-P
Trapani, C.
[J]. ADVANCES IN OPERATOR THEORY, 2019, 4 (01): : 71 - 98

← 1 2 3 4 5 →