Lower bounds for the spectrum of ordinary differential operators (Q1063162)

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scientific article; zbMATH DE number 3914755
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Lower bounds for the spectrum of ordinary differential operators
scientific article; zbMATH DE number 3914755

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    Lower bounds for the spectrum of ordinary differential operators (English)
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    1983
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    A special type of linear differential equations of even order is investigated. First, conditions for the associated minimal operator \(T_ 0\) to be bounded below are given and lower bounds for its Friedrich's extension as well as for the essential spectrum of self-adjoint extensions of \(T_ 0\) are given. From these bounds discreteness criteria for the spectrum are derived as are extensions of earlier results (of various authors).
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    linear differential equations of even order
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    Friedrich's extension
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