Solving operator equations in nest algebras

被引：0

作者：

Moore, RL ^{[1
]}

Trent, TT ^{[1
]}

机构：

[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

来源：

HOUSTON JOURNAL OF MATHEMATICS | 1998年 / 24卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X and Y be operators on Hilbert space, and let L be a nest of projections on the space. We consider the problem of finding an operator A in Alg L such that A is Hilbere-Schmidt and such that AX = Y. A necessary and sufficient condition involving X,Y, and the projections in the lattice is found. We also indicate how the statements of the results can be modified so that the main theorem is true for any commutative subspace lattice L.

引用

页码：483 / 488

页数：6

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