On positive differential operators (deficiency indices, factorization, perturbations)

DOI10.1017/S0308210500032030zbMath0596.47032OpenAlexW2077552316MaRDI QIDQ3728697

F. S. Rofe-Beketov

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500032030

zbMATH Keywords

perturbationsresolvent convergenceBerezankij's theorem on essential self-adjointnessCourant theorem on variations of the domaindensely or non-densely defined elliptic differential operatorsequations of any order with operator-valued coefficientsEtgen-Pawlowski oscillation criterionfinite velocity of propagationKrein-Heinz-Rellich factorization theoremsstability of discrete spectrum

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General theory of partial differential operators (47F05) Dilations, extensions, compressions of linear operators (47A20)

Related Items (1)

A generalization of the theorems of alternation and non-oscillation for differential-operator equations of arbitrary even order

Cites Work

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• Halbbeschränkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus
• Spectral operators
• Lower semicontinuhy of positive quadratic forms
• The number of integrable-square solutions of products of differential expressions
• Interval Limit-Point Criteria for Differential Expressions and their Powers
• Note on a Paper by Stetkær-Hansen Concerning Essential Selfadjointness of Schroedinger Operators.

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