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
收藏
页码：485 / 495
页数：11
相关论文
共 50 条
  • [1] Partial Isometries and EP Elements in Banach Algebras
    Mosic, Dijana
    Djordjevic, Dragan S.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [2] A semi-partial isometries in Banach spaces
    Beiba, El Moctar Ould
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, Forum-Editrice Universitaria Udinese SRL (45): : 722 - 732
  • [3] Into isometries of Banach spaces
    Rao, T. S. S. R. K.
    [J]. RECENT TRENDS IN OPERATOR THEORY AND APPLICATIONS, 2019, 737 : 135 - 144
  • [4] On the Symmetrizations of ε-Isometries on Banach Spaces
    Cheng, Lixin
    Sun, Longfa
    [J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2019, 53 (01) : 74 - 77
  • [5] Linear isometries on Banach spaces
    Amiri, S.
    Golbaharan, A.
    Mahyar, H.
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (01)
  • [6] Linear isometries on Banach spaces
    S. Amiri
    A. Golbaharan
    H. Mahyar
    [J]. Analysis and Mathematical Physics, 2022, 12
  • [7] ISOMETRIES ON CERTAIN BANACH SPACES
    FLEMING, RJ
    JAMISON, JE
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A331 - A332
  • [8] ISOMETRIES OF COMBINATORIAL BANACH SPACES
    Brech, C.
    Ferenczi, V
    Tcaciuc, A.
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (11) : 4845 - 4854
  • [9] On the Symmetrizations of ε-Isometries on Banach Spaces
    Lixin Cheng
    Longfa Sun
    [J]. Functional Analysis and Its Applications, 2019, 53 : 74 - 77
  • [10] Examples of banach spaces that are not banach algebras
    Mullen, Ryan
    [J]. Function Spaces, 2007, 435 : 335 - 342
12345