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Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices - MaRDI portal

Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices (Q1755701)

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scientific article; zbMATH DE number 7000104
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Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices
scientific article; zbMATH DE number 7000104

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    Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices (English)
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    11 January 2019
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    Summary: In this paper, we study the unbounded upper triangular operator matrix with diagonal domain. Some sufficient and necessary conditions are given under which upper semi-Weyl spectrum (resp. upper semi-Browder spectrum) of such operator matrix is equal to the union of the upper semi-Weyl spectra (resp. the upper semi-Browder spectra) of its diagonal entries. As an application, the corresponding spectral properties of Hamiltonian operator matrix are obtained.
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