cyclic vector meaning in Chinese

循环向量

We detailed toeplitz operator with unomodular symbol , and generated the theorem proved by michael sand in [ 2 ] from h to h + c ( t ) . in the second part of this paper , the author discussed simply when multipliction of two toeplitz operators with symbol in h + c ( t ) or in l . we got two conclusions by analyzing symbol of toeplitz operators . the last , we investigated whether multiplication of two toeplitz operators , which range included all non - cyclic vectors of backward shift , is surjective , and partly answered the question about surjective toeplitz algebra posed by michael sand in [ 2 ]
对于单个的toeplitz算子，考虑其符号的内外分解，得到了它的满射只与其幺模部分有关的结论，详细地讨论了符号为幺摸函数的toeplitz算子的各种情况，在讨论符号在h ~的特殊情形时，推广michaelsand [ 2 ]中的定理2到h ~ + c ( t ) ，第二部分简单地讨论了符号在h ~ + c ( t )以及l ~中的两个toeplitz算子的乘积的满射情况，先对toeplitz算子的符号进行分析得到两个结论，最后考察了toeplitz算子的乘积的值域包含后移算子的所有非循环向量的满射情况，部分地回答了michaelsand在[ 2 ]中提出的toeplitz代数满射问题。