Boolean Valued Analysis of Banach Spaces

被引：0
|
作者：
Kusraev, A. G. [1 ,2 ]
Kutateladze, S. S. [3 ]
机构：
[1] Southern Math Inst, Vladikavkaz, Russia
[2] North Caucasus Ctr Math Res, Mikhailovskoye Village, Russia
[3] Sobolev Inst Math, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2024年 / 65卷 / 01期
关键词：
Boolean valued analysis; Banach space; lattice norm; mixed norm; Kantorovich space; cyclic Banach space; Banach mixed normed space; Maharam operator; injective Banach lattice; 517.982; POSITIVE OPERATORS; EXTENSIONS;
D O I：
10.1134/S0037446624010178
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We implement the Boolean valued analysis of Banach spaces. The realizations of Banach spaces in a Boolean valued universe are lattice normed spaces. We present the basic techniques of studying these objects as well as the Boolean valued approach to injective Banach lattices.
引用
收藏
页码：190 / 233
页数：44
相关论文
共 50 条
  • [1] Boolean Valued Analysis of Banach Spaces
    A. G. Kusraev
    S. S. Kutateladze
    [J]. Siberian Mathematical Journal, 2024, 65 : 190 - 233
  • [2] Boolean Valued Analysis of Banach Algebras
    Kusraev, A. G.
    Kutateladze, S. S.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (04) : 1001 - 1034
  • [3] Boolean Valued Analysis of Banach Algebras
    A. G. Kusraev
    S. S. Kutateladze
    [J]. Siberian Mathematical Journal, 2023, 64 : 1001 - 1034
  • [4] Boolean-valued analysis and injective Banach lattices
    A. G. Kusraev
    [J]. Doklady Mathematics, 2012, 85 : 341 - 343
  • [5] Boolean-Valued Analysis and Injective Banach Lattices
    Kusraev, A. G.
    [J]. DOKLADY MATHEMATICS, 2012, 85 (03) : 341 - 343
  • [6] FRAMES AND RIESZ BASES FOR BANACH SPACES, AND BANACH SPACES OF VECTOR-VALUED SEQUENCES
    Cho, Kyugeun
    Kim, Ju Myung
    Lee, Han Ju
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2013, 7 (02): : 172 - 193
  • [7] Prolegomena to Boolean Valued Analysis: Boolean Toposes
    A. G. Kusraev
    S. S. Kutateladze
    [J]. Siberian Mathematical Journal, 2025, 66 (1) : 129 - 167
  • [8] Banach envelopes of vector valued Hp spaces
    Michalak, A
    Nawrocki, M
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2002, 13 (02): : 185 - 195
  • [9] MULTIPLIERS OF BANACH VALUED FUNCTION-SPACES
    LAI, HC
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1985, 39 (AUG): : 51 - 62
  • [10] BANACH SPACES WITH SUFFICIENTLY MANY BOOLEAN ALGEBRAS OF PROJECTIONS
    LINDENSTRAUSS, J
    ZIPPIN, M
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 25 (02) : 309 - +
12345