On ampliation quasiaffine transforms of operators

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator S in L(H) is an ampliation quasiaffine transform of an operator T in L(H).

Original languageEnglish
Pages (from-to)699-710
Number of pages12
JournalBulletin of the Korean Mathematical Society
Volume58
Issue number3
DOIs
StatePublished - 2021

Bibliographical note

Funding Information:
Received May 27, 2020; Accepted March 10, 2021. 2010 Mathematics Subject Classification. Primary 47A11; Secondary 47A10, 47B20. Key words and phrases. Ampliation quasisimilarity, local spectral property, invariant subspace. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (2019R1F1A1058633) and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177).

Publisher Copyright:
©2021 Korean Mathematical Society.

Keywords

  • Ampliation quasisimilarity
  • Invariant subspace
  • Local spectral property

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