On ampliation quasiaffine transforms of operators
Bull. Korean Math. Soc. 2021 Vol. 58, No. 3, 699-710
Published online May 7, 2021
Printed May 31, 2021
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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