Geodesic
Weyl type theorems for a class of operator matrices
Filomat, Tome 36 (2022) no. 6, p. 2063

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DOI

It is well known that not all operators satisfy Weyl type theorems simultaneously. In this paper, we denote an operator matrix and consider how eight Weyl type theorems hold for it when certain entry operators satisfy Weyl type theorems. Moreover, we characterize its spectral structure. Finally, the relevant conclusions are promoted to infinite dimensional Hamilton operator.
DOI : 10.2298/FIL2206063Z
Classification : 47A11, 47A53
Keywords: Weyl type theorem, operator matrices, spectrum, SVEP 
Weihong Zhang; Guojun Hai; Alatancang Chen. Weyl type theorems for a class of operator matrices. Filomat, Tome 36 (2022) no. 6, p. 2063 . doi: 10.2298/FIL2206063Z
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     title = {Weyl type theorems for a class of operator matrices},
     journal = {Filomat},
     pages = {2063 },
     year = {2022},
     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206063Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206063Z/}
}
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