Weyl type theorems for a class of operator matrices
نویسندگان
چکیده
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 hold for it when certain entry theorems. Moreover, characterize its spectral structure. Finally, the relevant conclusions are promoted to infinite dimensional Hamilton operator.
منابع مشابه
Upper Triangular Operator Matrices , SVEP and Browder , Weyl Theorems
A Banach space operator T ∈ B(X ) is polaroid if points λ ∈ isoσσ(T ) are poles of the resolvent of T . Let σa(T ), σw(T ), σaw(T ), σSF+(T ) and σSF−(T ) denote, respectively, the approximate point, the Weyl, the Weyl essential approximate, the upper semi–Fredholm and lower semi–Fredholm spectrum of T . For A, B and C ∈ B(X ), let MC denote the operator matrix (
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ژورنال
عنوان ژورنال: Filomat
سال: 2022
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2206063z