KOLMOGOROV AND RIESZ TYPE CRITERIA OF COMPACTNESS IN KOTHE SPACES OF VECTOR-VALUED FUNCTIONS

被引：3
|
作者：
CASTAING, C [1 ]
KAMINSKA, A [1 ]
机构：
[1] ADAM MICKIEWICZ UNIV,INST MATH,PL-60780 POZNAN,POLAND
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 149卷 / 01期
关键词：
D O I：
10.1016/0022-247X(90)90288-Q
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is presented here a general result of compactness for Köthe spaces of vector valued functions. In particular cases one obtains known results for Lebesgue, Orlicz, and Lebesgue-Bochner spaces and also new results for Orlicz spaces of vector valued functions. © 1990.
引用
收藏
页码：96 / 113
页数：18
相关论文
共 50 条
  • [31] KOTHE-ORLICZ VECTOR-VALUED WEAKLY SEQUENCE SPACES OF DIFFERENCE OPERATORS
    Raj, Kuldip
    Choudhary, Anu
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2019, 25 (02): : 161 - 175
  • [32] ON SPACES OF VECTOR-VALUED CONTINUOUS-FUNCTIONS
    MENDOZA, J
    BULLETIN DES SCIENCES MATHEMATIQUES, 1983, 107 (02): : 177 - 192
  • [33] Generalized Kothe-Toeplitz Duals of Some Vector-Valued Sequence Spaces
    Yilmaz, Yilmaz
    INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
  • [34] WEIGHTED SPACES OF VECTOR-VALUED CONTINUOUS FUNCTIONS
    PROLLA, JB
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (02): : 366 - &
  • [35] Bergman and Bloch spaces of vector-valued functions
    Arregui, JL
    Blasco, O
    MATHEMATISCHE NACHRICHTEN, 2003, 261 : 3 - 22
  • [36] Uniqueness of the topology on spaces of vector-valued functions
    Villena, AR
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001, 64 : 445 - 456
  • [37] Preduals of Spaces of Vector-Valued Holomorphic Functions
    Christopher Boyd
    Czechoslovak Mathematical Journal, 2003, 53 : 365 - 376
  • [38] Characterizing Sobolev spaces of vector-valued functions
    Caamano, Ivan
    Jaramillo, Jesus A.
    Prieto, Angeles
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (01)
  • [39] On the structure of spaces of vector-valued Lipschitz functions
    Garcia-Lirola, Luis
    Petitjean, Colin
    Zoca, Abraham Rueda
    STUDIA MATHEMATICA, 2017, 239 (03) : 249 - 271
  • [40] ISOMORPHISMS OF SPACES OF CONTINUOUS VECTOR-VALUED FUNCTIONS
    CAMBERN, M
    ILLINOIS JOURNAL OF MATHEMATICS, 1976, 20 (01) : 1 - 11
12345