Perspectivity in projection lattices
Perspectivity in projection lattices
复制标题
投影晶格中的透视
DOI：
10.1090/s0002-9939-1965-0176347-2
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发表时间：
1965
期刊：
影响因子：
--
通讯作者：
P. Fillmore
中科院分区：
文献类型：
--
作者：
P. Fillmore
设A是一个w*-代数，L是它的投影格.众所周知[3]，L中的投影透视由A中的部分等距连接，并且当代数A是有限的时，这两个概念精确地重合。我们在本文中表明，在任何w*-代数，透视享有几乎每一个属性，除了可加性，关系-的部分等距等价。这些属性通过以下方式建立：
Let A be a w*-algebra and L its projection lattice. It is well known [3] that projections perspective in L are linked by a partial isometry in A, and that these two notions coincide precisely when the algebra A is finite. We show in this paper that, in any w*-algebra, perspectivity enjoys virtually every property, other than additivity, of the relation -of partial isometry equivalence. These properties are established by means of