Limited p-converging operators and relation with some geometric properties of Banach spaces

被引:1
|
作者
Dehghani, Mohammad B. [1 ]
Moshtaghioun, Seyed M. [1 ]
机构
[1] Yazd Univ, Dept Math, Univ Blvd,POB 89195-741, Yazd 97514, Iran
关键词
Gelfand-Phillips property; Schur property; p-Schur property; weakly p-compact set; reciprocal Dunford-Pettis property of order p; SCHUR PROPERTY; ORDER P; ASTERISK; SUBSPACES;
D O I
10.14712/1213-7243.2021.030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using the concepts of limited p-converging operators between two Banach spaces X and Y, L-p-sets and L-p-limited sets in Banach spaces, we obtain some characterizations of these concepts relative to some well-known geometric properties of Banach spaces, such as *-Dunford-Pettis property of order p and Pelczynski's property of order p, 1 <= p < infinity.
引用
收藏
页码:417 / 430
页数:14
相关论文
共 50 条
  • [1] A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces
    Salimi, M.
    Moshtaghioun, S. M.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [2] p-Converging operators and Dunford-Pettis property of order p
    Chen, Dongyang
    Chavez-Dominguez, J. Alejandro
    Li, Lei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (02) : 1053 - 1066
  • [3] Some Geometric and Proximinality Properties in Banach Spaces
    Shunmugaraj, P.
    Thota, V
    JOURNAL OF CONVEX ANALYSIS, 2018, 25 (04) : 1139 - 1158
  • [4] Chebyshev centers and some geometric properties of Banach spaces
    Lalithambigai, S.
    Paul, T.
    Shunmugaraj, P.
    Thota, V.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (01) : 926 - 938
  • [5] Some geometric properties related to smoothness of Banach spaces
    Wulede, Suyalatu
    Han, Alatengsubude
    Bao, Laiyou
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (03) : 723 - 734
  • [6] SOME GEOMETRIC CHARACTERISTICS OF BANACH-SPACES AND ACCRETIVE-OPERATORS
    YURGELAS, VV
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1982, (05): : 63 - 69
  • [7] Properties of polynomially Riesz operators on some Banach spaces
    Dehici A.
    Boussetila N.
    Lobachevskii Journal of Mathematics, 2011, 32 (1) : 39 - 47
  • [8] SOME PROPERTIES ON AVERAGING OPERATORS IN BANACH FUNCTION SPACES
    KORVIN, AD
    ROBERTS, CE
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (05): : A493 - A493
  • [9] Some geometric properties of relative Chebyshev centres in Banach spaces
    Daptari, Soumitra
    Paul, Tanmoy
    RECENT TRENDS IN OPERATOR THEORY AND APPLICATIONS, 2019, 737 : 77 - 87
  • [10] Some Spectral Properties of Linear Operators on Exotic Banach Spaces
    Dehici, Abdelkader
    Debbar, Rabah
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2012, 33 (01) : 56 - 67