On Banach spaces of universal disposition

被引:0
|
作者
Castillo, J. M. F. [1 ]
Simoes, Marilda A. [2 ]
机构
[1] Univ Extremadura, Dept Matemat, Badajoz 06071, Spain
[2] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, Ple A Moro 2, I-00185 Rome, Italy
来源
关键词
Banach spaces of universal disposition; separable injective; separable complementation property; C(K)-SPACES; EXTENSION;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present: i) an example of a Banach space of universal disposition that is not separably injective; ii) an example of a Banach space of universal disposition with respect to finite dimensional polyhedral spaces with the Separable Complementation Property; iii) a new type of space of universal disposition nonisomorphic to the previous existing ones.
引用
收藏
页码:605 / 613
页数:9
相关论文
共 50 条
  • [1] Banach spaces of universal disposition
    Aviles, Antonio
    Cabello Sanchez, Felix
    Castillo, Jesus M. F.
    Gonzalez, Manuel
    Moreno, Yolanda
    JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 261 (09) : 2347 - 2361
  • [2] BANACH SPACES OF ALMOST UNIVERSAL COMPLEMENTED DISPOSITION
    Castillo, Jesus M. F.
    Moreno, Yolanda
    QUARTERLY JOURNAL OF MATHEMATICS, 2020, 71 (01): : 139 - 174
  • [3] Quasi-Banach spaces of almost universal disposition
    Sanchez, Felix Cabello
    Garbulinska-Wegrzyn, Joanna
    Kubis, Wieslaw
    JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (03) : 744 - 771
  • [4] NON-ARCHIMEDEAN BANACH SPACES OF UNIVERSAL DISPOSITION
    Kubzdela, A.
    Perez-Garcia, C.
    ANALYSIS MATHEMATICA, 2023, 49 (02) : 507 - 528
  • [5] Non-archimedean Banach spaces of universal disposition
    A. Kubzdela
    C. Perez-Garcia
    Analysis Mathematica, 2023, 49 (2) : 507 - 528
  • [6] 1-complemented subspaces of Banach spaces of universal disposition
    Castillo, Jesus M. F.
    Moreno, Yolanda
    Simoes, Marilda A.
    NEW YORK JOURNAL OF MATHEMATICS, 2018, 24 : 251 - 260
  • [7] Spaces of Universal Disposition
    Aviles, Antonio
    Cabello Sanchez, Felix
    Castillo, Jesus M. F.
    Gonzalez, Manuel
    Moreno, Yolanda
    SEPARABLY INJECTIVE BANACH SPACES, 2016, 2132 : 67 - 107
  • [8] On universal subsets of Banach spaces
    Herzog, G
    Lemmert, R
    MATHEMATISCHE ZEITSCHRIFT, 1998, 229 (04) : 615 - 619
  • [9] Universal decomposed Banach spaces
    Taras Banakh
    Joanna Garbulińska-Wȩgrzyn
    Banach Journal of Mathematical Analysis, 2020, 14 : 470 - 486
  • [10] Universal decomposed Banach spaces
    Banakh, Taras
    Garbulinska-Wegrzyn, Joanna
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (02) : 470 - 486