n-quasi-A-(m, q)-isometry on a Banach space

被引:0
|
作者
Gherairi, Khadija [1 ]
Hajjej, Zayd [2 ]
Li, Haiyan [3 ]
Regeiba, Hedi [1 ]
机构
[1] Gabes Univ, Coll Sci, Lab Math & Applicat, Zrig Eddakhlania, Tunisia
[2] King Saud Univ, Coll Sci, Dept Math, PO Box 2455, Riyadh 11451, Saudi Arabia
[3] North Minzu Univ, Coll Math & Informat Sci, Yinchuan 750021, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 12期
关键词
(m; q)-isometry; n-quasi-A-(m; m-isometry; M-ISOMETRIC TRANSFORMATIONS; OPERATORS;
D O I
10.3934/math.20231448
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the class of n-quasi-A-(m, q)-isometry operators on a Banach space X, which represents a generalization of the n-quasi-(m, q)-isometry on a Banach space and the n -quasi-(A, m)-isometry on a Hilbert space. After giving some basic properties of this class of operators, we study the product and the power of such operators in this class.
引用
收藏
页码:28308 / 28321
页数:14
相关论文
共 50 条
  • [1] Some properties of n-quasi-(m, q)-isometric operators on a Banach space
    Gherairi, Khadija
    Hajjej, Zayd
    Li, Haiyan
    Regeiba, Hedi
    AIMS MATHEMATICS, 2023, 8 (12): : 31246 - 31257
  • [2] The Isometry and Almost Isometry in B(m(N)→m(Ω))
    定光桂
    数学进展, 1985, (04) : 376 - 378
  • [3] Banach algebras generated by an invertible isometry of an Lp-space
    Gardella, Eusebio
    Thiel, Hannes
    JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 269 (06) : 1796 - 1839
  • [4] n-quasi-m-contractive and n-quasi-m-expansive operators on a Hilbert space
    Saddi, Adel
    Mahmoudi, Fatma
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (08)
  • [5] (M,N)-CAPS IN A GALOIS SPACE SR,Q
    TALLINIS.M
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 53 (1-2): : 71 - 81
  • [6] Isometry on Linear n-G-quasi Normed Spaces
    Ma, Yumei
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2017, 60 (02): : 350 - 363
  • [7] M-ideals and split faces of the quasi state space of a non-unital ordered Banach space
    Ghatak, Anindya
    Karn, Anil Kumar
    POSITIVITY, 2019, 23 (02) : 413 - 429
  • [8] M-ideals and split faces of the quasi state space of a non-unital ordered Banach space
    Anindya Ghatak
    Anil Kumar Karn
    Positivity, 2019, 23 : 413 - 429
  • [9] ON JAMES QUASI-REFLEXIVE BANACH-SPACE AS A BANACH ALGEBRA
    ANDREW, AD
    GREEN, WL
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1980, 32 (05): : 1080 - 1101
  • [10] On Generalized Moduli of Quasi-Banach Space
    Kwun, Young Chel
    Qadri, Hussain Minhaj Uddin Ahmad
    Nazeer, Waqas
    Ul Haq, Absar
    Kang, Shin Min
    JOURNAL OF FUNCTION SPACES, 2018, 2018