Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 68-72.doi: 10.1016/S0252-9602(11)60208-7

• Articles • Previous Articles     Next Articles

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.

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

CLC Number: 

  • 47B38
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