Relative position of three subspaces in a Hilbert space

被引：1

作者：

Enomoto, Masatoshi ^{[1
]}

Watatani, Yasuo ^{[2
]}

机构：

[1] 1-6-13 Nogami, Takarazuka, Hyogo, Japan

[2] Kyushu Univ, Dept Math Sci, Motooka, Fukuoka 8190395, Japan

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2019年 / 85卷 / 3-5期

关键词：

three subspaces; Hilbert space; ALGEBRAS; REPRESENTATIONS;

D O I：

10.14232/actasm-018-821-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the relative position of three subspaces in an infinite-dimensional Hilbert space. In the finite-dimensional case over an arbitrary field, Brenner described the general position of three subspaces completely. We extend it to a certain class of three subspaces in an infinite-dimensional Hilbert space over the complex numbers.

引用

页码：519 / 537

页数：19

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