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

From MaRDI portal





scientific article; zbMATH DE number 1356458
Language Label Description Also known as
English
On the essential spectra of regularly solvable operators in the direct sum spaces
scientific article; zbMATH DE number 1356458

    Statements

    On the essential spectra of regularly solvable operators in the direct sum spaces (English)
    0 references
    20 December 1999
    0 references
    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.
    0 references
    essential spectrum
    0 references
    regularly solvable operator
    0 references
    quasi-differential operator
    0 references
    direct sum space
    0 references
    minimal operators
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references