cyclic algebra 中文意思是什麼
cyclic algebra
解釋
循環代數-
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 ]
對于單個的toeplitz運算元，考慮其符號的內外分解，得到了它的滿射只與其幺模部分有關的結論，詳細地討論了符號為幺摸函數的toeplitz運算元的各種情況，在討論符號在h ~的特殊情形時，推廣michaelsand [ 2 ]中的定理2到h ~ + c （ t ） ，第二部分簡單地討論了符號在h ~ + c （ t ）以及l ~中的兩個toeplitz運算元的乘積的滿射情況，先對toeplitz運算元的符號進行分析得到兩個結論，最後考察了toeplitz運算元的乘積的值域包含后移運算元的所有非循環向量的滿射情況，部分地回答了michaelsand在[ 2 ]中提出的toeplitz代數滿射問題。
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