Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2021; 58(3): 699-710

Online first article May 7, 2021      Printed May 31, 2021

https://doi.org/10.4134/BKMS.b200473

Copyright © The Korean Mathematical Society.

On ampliation quasiaffine transforms of operators

Eungil Ko

Ewha Womans University

Abstract

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

Keywords: Ampliation quasisimilarity, local spectral property, invariant subspace

MSC numbers: Primary 47A11; Secondary 47A10, 47B20

Supported by: 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)

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