Square roots of complex symmetric operators

Munsun Jo, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study square roots of complex symmetric operators. In particular, we prove that if (Formula presented.) is a square root of a complex symmetric operator, then (Formula presented.) has the single-valued extension property if and only if so does T. Moreover, in this case, T has the Bishop's property (Formula presented.) if and only if T is decomposable. Finally, we show that if T has a nontrivial hyperinvariant subspace, then (Formula presented.) has a nontrivial invariant subspace.

Original languageEnglish
JournalLinear and Multilinear Algebra
DOIs
StateAccepted/In press - 2022

Bibliographical note

Publisher Copyright:
© 2022 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • Square roots of complex symmetric operators
  • nontrivial invariant subspace
  • the Bishop's property
  • the Dunford's property (C)
  • the dunford's boundedness condition (B)
  • the single-valued extension property

Fingerprint

Dive into the research topics of 'Square roots of complex symmetric operators'. Together they form a unique fingerprint.

Cite this