Open AccessLocal spectral property of 2 x 2 operator matrices
Author(s) -
Eungil Ko
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1907845k
Subject(s) - mathematics , operator matrix , operator (biology) , spectral properties , property (philosophy) , scalar (mathematics) , quasinormal operator , matrix (chemical analysis) , extension (predicate logic) , pure mathematics , discrete mathematics , finite rank operator , algebra over a field , computer science , biochemistry , chemistry , philosophy , computational chemistry , geometry , materials science , epistemology , repressor , transcription factor , banach space , composite material , gene , programming language
In this paper we study the local spectral properties of 2 x 2 operator matrices. In particular, we show that every 2 x 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.