摘要
本文第一部分用ＣＳＬ序区间投影集上的偏序给出ＣＳＬ代数自同构为拟空间实现的一个充分条件，作为推论，证明了代数自同构是拟空间实现的．第二部分，给出ＣＳＬ的序积与序和格代数的紧及有限插值性质，由此可得出一些非完全分配ＣＳＬ代数的插值性质。
In the first section, a sufficient condition under which every automorphism of a CSL algebra is quasi-spatial is given' As a corollary, it follows that every automorphism of a tree algebra defined in [6] is quasi-spatial. In the second section, we present the interpolation properties of compact and finite--rank operators in a CSL algebra corresponding to order product and order sum of CSL.
关键词
交换子空间格
格代数
自同构
插值
CSL代数
commutative subspace lattice
reflexive algebra
automorphism
interpolation.
