Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (6): 2279-2284.doi: 10.1016/S0252-9602(12)60177-5

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REFLEXIVITY OF POWERS OF THE MULTIPLICATION OPERATOR ON SPECIAL FUNCTION SPACES

B. Yousefi|Sh. Khoshdel   

  1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
  • Received:2011-03-31 Revised:3011-12-20 Online:2012-11-20 Published:2012-11-20

Abstract:

In this paper we present sufficient conditions for reflexivity of any powers of the multiplication operator acting on Banach spaces of formal Laurent series.

Key words: reflexive operator, Banach space of Laurent series associated with a sequence β, bounded point evaluation

CLC Number: 

  • 47B37
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