In this paper we study the local spectral properties of 2 × 2 operator matrices. In particular, we show that every 2 × 2 operator matrix with three scalar entries has the single valued extension property. Moreover, we consider the spectral properties of such operator matrices. Finally, we show that some of such operator matrices are decomposable.
Bibliographical noteFunding Information:
2010 Mathematics Subject Classification. Primary 47B20; Secondary 47A10 Keywords. SVEP, Bishop’s property (β), spectra Received: 13 May 2018; Accepted: 26 June 2019 Communicated by Dragan S Djordjević This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) grant funded by the Ministry of Education (2016R1D1A1B03931937). Email address: firstname.lastname@example.org (Eungil Ko)
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- Bishop’s property (β)