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单叶算子的(U+K)轨道闭包及Putnam定理 被引量：1

(U+K)-Orbit Closure of Univalent Operator and Its Putnam Theorem
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摘要 通过研究一类解析的Toeplitz算子,引出单叶算子的概念,并刻画了它的(U+K)轨道闭包,从而给出这类算子集合的(U+K)不变量.最后得到关于这类算子的Putnam定理. A notion referring to the univalent operator was proposed via considering a class of the analytic Toeplitz operators. Then we characterized the （U＋H）-orbit closure of univalent operator and gave its （（U＋H）-invariant. In the end we got Putnam theorem of this kind of operators.
作者 张敏 纪友清
机构地区 吉林大学数学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2005年第6期735-740,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10371049) 新世纪优秀人才支持计划资助项目基金
关键词 单叶算子 ((U+H)轨道 ((U+H)不变量. univalent operator （U＋H） -orbit （U＋H） -invariant
分类号 O177.1 [理学—基础数学]
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参考文献10

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同被引文献11

  • 1Marcoux L,Survey of (u+k)-orbit, Operator theory and Banach algebras [C]// proceedings of the international conference in analysis, Rabat morocco, 1999 : 91-115.
  • 2Jiang C L, Wang Z Y. Strongly irreducible operators on Hilbert space [M]. Pitman Re-search Notes in Math, Series, 389, Longman, 1998.
  • 3Herrero D A,Jiang C. Limits of strongly irreducible operator, and the Riesz decomposition theorem [J]. Michigan Math. J, 1990(37): 283-291.
  • 4RudinW. Real and complex analysis [M]. Newyark: McGraw-Hill Book Company, 1974.
  • 5Halmas P R A. Hilbert space problem book [M], D. van. Nostrand, 1985.
  • 6Apostol C, Fialkow L A Herrero D A, Voiculescu D Approximation of Hilbert spaceoperators, [M]. Ltd. , London- Boston-Merlbourne Pitman Books, 1984.
  • 7Herrero D. A. Approximation of Hilbert space operators[M]. London-Boston-Merlbourne : Pitman Books Ltd, 1990.
  • 8Herrero D A. A trace obstruction to approximation by block- diagonal operators [J]. Amer J Math, 108(1986) : 451-484.
  • 9Guinand P S, Marcoux L. Between the unitary and similarity orbits or normal opera-tots[J]. Pacific J Math, 1993(159): 299-334.
  • 10Marcoux L. The closure of the (u+k)-orbit of shift-like operators [J]. Indiana Univ. Math. J,1992,41(4):1211-1223.

引证文献1

吉林大学学报（理学版）
2005年 第6期

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