ADJOINT CHARACTERIZATIONS OF UNBOUNDED WEAKLY COMPACT, WEAKLY COMPLETELY CONTINUOUS AND UNCONDITIONALLY CONVERGING OPERATORS

被引:0
作者
ALVAREZ, T [1 ]
CROSS, RW [1 ]
GOUVEIA, AI [1 ]
机构
[1] UNIV CAPE TOWN,DEPT MATH,RONDEBOSCH 7700,SOUTH AFRICA
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.
引用
收藏
页码:283 / 298
页数:16
相关论文
共 50 条
  • [31] Compact and Weakly Compact Composition Operators on BMOA
    Laitila, Jussi
    Nieminen, Pekka J.
    Saksman, Eero
    Tylli, Hans-Olav
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (01) : 163 - 181
  • [32] OPERATORS INVERTIBLE MODULO WEAKLY COMPACT OPERATORS
    YANG, KW
    PACIFIC JOURNAL OF MATHEMATICS, 1977, 71 (02) : 559 - 564
  • [33] Compact and Weakly Compact Composition Operators on BMOA
    Jussi Laitila
    Pekka J. Nieminen
    Eero Saksman
    Hans-Olav Tylli
    Complex Analysis and Operator Theory, 2013, 7 : 163 - 181
  • [34] WEAKLY COMPACT OPERATORS ON FUNCTION SPACES
    BROOKS, JK
    LEWIS, PW
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A311 - A311
  • [35] A bounded approximation of weakly compact operators
    Kim, Ju Myung
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 401 (01) : 154 - 159
  • [36] Operators that are Weakly Coercive and a Compact Perturbation
    Arbizu, Jose Maria Soriano
    Cabrera, Manuel Ordonez
    MATHEMATICA SLOVACA, 2023, 73 (06) : 1559 - 1568
  • [37] On weakly compact multilinear operators and interpolation
    Manzano, Antonio
    Mastylo, Mieczyslaw
    ADVANCES IN OPERATOR THEORY, 2025, 10 (01)
  • [38] On interpolation of weakly compact bilinear operators
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    MATHEMATISCHE NACHRICHTEN, 2022, 295 (07) : 1279 - 1291
  • [39] OPERATORS GENERATING WEAKLY COMPACT GROUPS
    GILLESPIE, TA
    WEST, TT
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1972, 21 (08) : 671 - +
  • [40] COMPLEMENT ON ORDER WEAKLY COMPACT OPERATORS
    Aqzzouz, Belmesnaoui
    H'Mishane, Jawad
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2011, 17 (02): : 112 - 117