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Algebras of subnormal operators on the unit polydisc

Authors
Identifiers
DOI: 10.1016/s0304-0208(01)80043-8
Keywords
  • 2000 Primary 47B20
  • Secondary 47A13
  • 47L45
  • 47A15
Disciplines
  • Mathematics

Abstract

Abstract In this note it is shown that the dual algebra generated by a completely non-unitary sub- normal tuple S with an isometric w*-continuous H∞-functional calculus over the unit polydisc satisfies the factorization property (A1,N0)- This observation is used to deduce that S is reflexive and possesses a dense set of vectors generating an analytic invariant subspace.

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