论文标题
交织的属性以压缩乘法运算符
Intertwining property for compressions of multiplication operators
论文作者
论文摘要
遵循Beurling定理，经典$ l^2 $空间中乘法运算符的自然压缩是模型空间和正交补充的压缩。两个可能不同的模型空间被认为是不对称截断的toeplitz，并研究了不对称的双重截短的toeplitz操作员。本文的主要目的是表征操作员，这些操作员交织了单方面转移的压缩。
Following Beurling's theorem the natural compressions of the multiplication operator in the classical $L^2$ space are compressions to model spaces and to their orthogonal complements. Two possibly different model spaces are considered hence asymmetric truncated Toeplitz and asymmetric dual truncated Toeplitz operators are investigated. The main purpose of the paper is to characterize operators which intertwine compressions of the unilateral shift.
