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递归生成加权移位算子正的二次亚正规性

Positively Quadratically Hyponormal of Recursively Generated Weighted Shifts
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摘要 Curto-Fialkow讨论了由三个权序列递归生成的加权移位算子的正的二次亚正规性,给出了算子是正的二次亚正规的一个充要条件。在此基础之上,讨论了由五个权序列递归生成的加权移位算子正的二次亚正规性。 Curto-Fialkow discussed positively quadratically hyponormal which is generated by only three weighted shifts and presented a necessary and sufficient condition for which being positively quadratically hyponormal. Then the author considered positively quadratically hyponormality of recursively generated weighted shift which is generated by five weights.
作者 董延武
机构地区 湛江师范学院
出处 《廊坊师范学院学报(自然科学版)》 2013年第5期12-16,共5页 Journal of Langfang Normal University(Natural Science Edition)
关键词 递归生成加权移位 二次亚正规 正的二次亚正规 recursively generated weighted shift quadratically hyponormal positively quadratically hyponormal
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参考文献3

  • 1R.Curto and L.Fialkow.Recursively generated weighted shifts and the subnormal completion problem Ⅱ[J].Integrail Equations and Operator Theory,1994,(18):369-426.
  • 2R.Curto and L.Fialkow.Recursively generated weighted shifts and the subnormal completion problem[J].Integral Equations and Operator Theory,1993,(17):202-246.
  • 3R.Curto,IL Bong Jung.Quadratically hyponormal weighted shifts with two equal weights[J].Integral Equations and Operator Theory,2000,(37):208-231.

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