p-Quasihyponormal operators have scalar extensions of order 6

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper we show that every p-quasihyponormal operator has a scalar extension of order 6, i.e., is similar to the restriction to a closed invariant subspace of a scalar operator of order 6, where 0 < p < 1. As a corollary, we get that every p-quasihyponormal operator with rich spectra has a nontrivial invariant subspace. Also we show that Aluthge transforms preserve an analogue of the single-valued extension property for W2 (D, H) and an operator T.

Original languageEnglish
Pages (from-to)80-90
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - 1 Jun 2007


  • Invariant subspaces
  • p-Quasihyponormal
  • Scalar and subscalar operators


Dive into the research topics of 'p-Quasihyponormal operators have scalar extensions of order 6'. Together they form a unique fingerprint.

Cite this