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backward shifting中文是什么意思

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  • 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。
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Last modified time:Wed, 13 Aug 2025 00:29:56 GMT

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