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UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS 被引量：1

UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS
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摘要 This article derives the relation between universal interpolating sequences and some spectral properties of the multiplication operator by the independent variable z in case the underlying space is a Hilbert space of functions analytic on the open unit disk. This article derives the relation between universal interpolating sequences and some spectral properties of the multiplication operator by the independent variable z in case the underlying space is a Hilbert space of functions analytic on the open unit disk.
作者 B.Yousefi
机构地区 Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期68-72,共5页 数学物理学报（B辑英文版）
关键词 Hilbert spaces of analytic functions universal interpolating sequence multiplication operator invariant subspaces spectral properties Hilbert spaces of analytic functions universal interpolating sequence multiplication operator invariant subspaces spectral properties
分类号 O177.1 [理学—基础数学]
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参考文献11

  • 1Chan K C, Shields A L. Zero sets, interpolating sequences, and cyclic vectors for Dirichlet spaces. Michigan Math J, 1992, 39:289-307.
  • 2Richter S. Invariant subspaces in Banach spaces of analytic functions. Trans Amer Math Soc, 1987, 304: 585-616.
  • 3Seddighi K, Yousefi B. On the reflexivity of operators on function spaces. Proc Amer Math Soc, 1992, 116:45-52.
  • 4Shapiro H S, Shields A L. On some interpolation problems for analytic functions. Amer J Math, 1961, 83: 513-532.
  • 5Yousefi B. Interpolating sequence on certain Banach spaces of analytic functions. Bull Austral Math Soc, 2002, 65:77-182.
  • 6Yousefi B. Multiplication operators on Hilbert spaces of analytic functions. Archiv der Mathematik, 2004, 83(6): 536 -539.
  • 7Yousefi B, Tabatabaie B. Universal interpolating sequence on some function spaces. Czechoslovak Mathematical Journal, 2005, 55(130): 773-780.
  • 8Yousefi B, Foroutan S. On the multiplication operators on spaces of analytic functions. Studia Mathematica, 2005, 168(2): 187-191.
  • 9Yousefi B, Bagheri L. Intertwining multiplication operators on function spaces. Bulletin of the Polish Academy of Sciences Mathematics, 2006, 54(3/4): 273-276.
  • 10Yousefi B, Rezaei H. Hypercyclic property of weighted composition operators. Proc Amer Math Soc, 2007, 135(10): 3263- 3271.

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Acta Mathematica Scientia
2011年 第1期

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