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On the essential spectra of regularly solvable operators in the direct sum spaces - MaRDI portal

On the essential spectra of regularly solvable operators in the direct sum spaces (Q1806242)

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scientific article; zbMATH DE number 1356458
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English
On the essential spectra of regularly solvable operators in the direct sum spaces
scientific article; zbMATH DE number 1356458

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    On the essential spectra of regularly solvable operators in the direct sum spaces (English)
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    20 December 1999
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    The author considers a general quasi-differential expression \(M_p\) and its formal adjoint \(M^+_p\) as well as corresponding minimal operators \(T_0(M_p)\) and \(T_0(M^+_p)\) generated by them on any finite system of intervals \(I_p = (a_p, b_p)\), \(p = 1,\dots,N\). The spectral properties of operators which are regularly solvable with respect to \(T_0(M_p)\) and \(T_0(M^+_p)\) are studied. In particular, the essential spectra of such operators are described.
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    essential spectrum
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    regularly solvable operator
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    quasi-differential operator
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    direct sum space
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    minimal operators
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