二宽度CSL代数与套代数的因子分解

作者：杨有龙; 吴艳

来源：数学季刊, 2006, 21(1): 10-14.

DOI：10.3969/j.issn.1002-0462.2006.01.003

• width-two CSL algebra
• nest algebra
• factorization
• invertible operator

In this paper, we show that the invertible operator T, which is a bounded linear functional on a separable Hilbert space H, could factor as T = US, where U is unitary and S belongs to width-two CSL algebra algψ (ψ=M∨N) when nest M or N is a countable nest, or S belongs to algψ-1 when nests M and N are countable nests. For the factorization of nest,we obtain that T factors as T = US where S ∈ DN-1 and U is unitary as N be a countable nest.

• 单位
  西安电子科技大学