Subscalarity of (p,k)-quasihyponormal operators

Sungeun Jung, Eungil Ko, Mee Jung Lee

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this paper, we show that every (p,k)-quasihyponormal operator has a scalar extension and give some spectral properties of the scalar extensions of (p,k)-quasihyponormal operators. As a corollary, we get that such an operator with rich spectrum has a nontrivial invariant subspace. Finally, we prove that the sum of a p-hyponormal operator and an algebraic operator which are commuting is subscalar.

Original languageEnglish
Pages (from-to)76-86
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - 1 Aug 2011

Bibliographical note

Funding Information:
✩ This work was supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2009-0093827). * Corresponding author. E-mail addresses: [email protected] (S. Jung), [email protected] (E. Ko), [email protected] (M. Lee).


  • (p,k)-Quasihyponormal operator
  • Algebraic operator
  • Invariant subspace
  • P-Hyponormal operator
  • Subscalar operator


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