W-hyponormal operators have scalar extensions

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In this paper we show that every w-hyponormal operator has a scalar extension, i.e. is similar to the restriction to an invariant subspace of a scalar operator of order 4. As a corollary, we obtain that every w-hyponormal operator satisfies the property (β).

Original languageEnglish
Pages (from-to)363-372
Number of pages10
JournalIntegral Equations and Operator Theory
Issue number3
StatePublished - Nov 2005

Bibliographical note

Funding Information:
The author was supported by Korea Research Foundation Grant (KRF-2002-015-CP0044).


  • Subscalar operators
  • The property (β)
  • W-hyponormal


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