On solutions of operator equations satisfying the similarity of real and positive parts

Eungil Ko, Yoon Kyeong Lee

Research output: Contribution to journalArticlepeer-review

Abstract

Let (Formula presented.) and (Formula presented.) be the polar decompositions of S and T in (Formula presented.), respectively. In this paper we study solutions of operator equations which have similar real and positive parts with both the similarities implemented by a single invertible operator. Moreover, we investigate various properties of such solutions S and T.

Original languageEnglish
JournalLinear and Multilinear Algebra
DOIs
StateAccepted/In press - 2020

Keywords

  • and hyponormal operators
  • normal
  • quasinormal
  • Similarity of real and positive parts

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