A general HELP inequality connected with symmetric operators

DOI10.1098/rspa.2005.1576zbMath1149.26301OpenAlexW2160010405MaRDI QIDQ3503274

Matthias Langer

Publication date: 22 May 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1576

zbMATH Keywords

Hamiltonian systemblock operator matrixTitchmarsh-Weyl functionCopson's inequalityHELP inequalityboundary mappings

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Linear difference operators (47B39) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Inequalities for differences and their applications ⋮ The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality ⋮ Characterizations of monotone \(\mathcal O\)-regularly varying functions by means of indefinite eigenvalue problems and HELP type inequalities

Cites Work

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• The HELP inequality for Hamiltonian systems.
• Orthogonal polynomials and extensions of Copson's inequality
• The extension theory of Hermitian operators and the moment problem
• A general version of the Hardy–Littlewood–Polya–Everitt (HELP) inequality
• A return to the Hardy-Littlewood integral inequality
• Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators
• On an extension of Copson's inequality for infinite series
• On the Strong and Weak Limit-Point Classification of Second-Order Differential Expressions†
• The HELP inequality for lim-p Hamiltonian systems
• SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS
• Extension theory of formally normal and symmetric subspaces
• HELP inequalities for limit-circle and regular problems

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