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

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页码：190 / 233

页数：44

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