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
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