CATEGORIES OF UNBOUNDED OPERATORS

被引：0
|
作者：
Mitchener, Paul D. [1 ]
机构：
[1] Univ Sheffield, Sheffield, S Yorkshire, England
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2018年 / 24卷 / 01期
关键词：
Unbounded operators; Gelfand-Naimark-Segal construction; algebroid;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we introduce the concept of an LK*-algebroid, which is defined axiomatically. The main example of an LK*-algebroid is the category of all subspaces of a Hilbert space and closed (not necessarily bounded) linear operators. We prove that for any LK*-algebroid there is a faithful functor that respects its structure and maps it into this main example.
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页码：71 / 81
页数：11
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