THE TENSOR PRODUCT FORMULA FOR REFLEXIVE SUBSPACE LATTICES

被引：2
|
作者：
HARRISON, KJ [1 ]
机构：
[1] MURDOCH UNIV,SCH MATH & PHYS SCI,MURDOCH,WA 6150,AUSTRALIA
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1995年 / 38卷 / 03期
关键词：
D O I：
10.4153/CMB-1995-045-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a characterisation of L(1) x L(2) where L(1) and L(2) are subspace lattices with L(1) commutative and either completely distributive or complemented. We use it to show that Lat(A(1) x A(2)) = Lat A(1) x Lat A(2) if A(1) is a CSL algebra with a completely distributive or complemented lattice and A(2) is any operator algebra.
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页码：308 / 316
页数：9
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