数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 68-72.doi: 10.1016/S0252-9602(11)60208-7

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UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS

B.Yousefi   

  1. Department of Mathematics, Payame-Noor University, Shahrake Golestan, P.O.Box 71955-1368, Shiraz, Ira
  • 收稿日期:2007-08-28 修回日期:2009-06-04 出版日期:2011-01-20 发布日期:2011-01-20
  • 基金资助:

    This research was partially suported by a grant from Research Council of Shiraz Payam Noor University and the author gratefully adenowledge this support.

UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS

B.Yousefi   

  1. Department of Mathematics, Payame-Noor University, Shahrake Golestan, P.O.Box 71955-1368, Shiraz, Ira
  • Received:2007-08-28 Revised:2009-06-04 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    This research was partially suported by a grant from Research Council of Shiraz Payam Noor University and the author gratefully adenowledge this support.

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.

关键词: Hilbert spaces of analytic functions, universal interpolating sequence, multiplication operator, invariant subspaces, spectral properties

Abstract:

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.

Key words: Hilbert spaces of analytic functions, universal interpolating sequence, multiplication operator, invariant subspaces, spectral properties

中图分类号: 

  • 47B38