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• W2077552316 abstract "Synopsis A short survey is given of some recent results. The perturbations and stability of discrete spectrum and the problems of resolvent convergence of densely or non-densely defined elliptic differential operators are considered. The Courant theorem on variations of the domain is generalized. In connection with Berezanskiy's theorem on essential self-adjointness, the test for the finite velocity of propagation is extended. The Frobenius and the Krein-Heinz-Rellich factorization theorems and the Etgen Pawlowski oscillation criterion are generalized for equations of any order with operator-valued coefficients. Brusentsev's recent example of a two term fourth order differential operator with deficiency index 4 is discussed." @default.
• W2077552316 created "2016-06-24" @default.
• W2077552316 creator A5064467656 @default.
• W2077552316 date "1984-01-01" @default.
• W2077552316 modified "2023-09-24" @default.
• W2077552316 title "On positive differential operators (deficiency indices, factorization, perturbations)" @default.
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• W2077552316 doi "https://doi.org/10.1017/s0308210500032030" @default.
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