Generalizations of the Landau–Hadamard inequality and inequalities for quadratic polynomials of operators

DOI10.1017/S0308210500014530zbMath0613.47044MaRDI QIDQ4720278

Khristo N. Boyadzhiev

Publication date: 1986

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

zbMATH Keywords

differential inequalitiesoperator inequalitiesdissipative operatorsLandau-Hadamard inequalitygenerator of a \(C_ 0\) semi-group of contractionsskew-Hermitian linear operators on a Banach space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear accretive operators, dissipative operators, etc. (47B44)

Cites Work

• Unnamed Item
• Inequalities for quadratic polynomials in Hermitian and dissipative operators
• Semigroups of linear operators and applications to partial differential equations
• Optimal Landau-Kolmogorov inequalities for dissipative operators in Hilbert and Banach spaces
• Some remarks on inequalities of Landau and Kolmogorov
• A general version of the Hardy–Littlewood–Polya–Everitt (HELP) inequality
• Ramifications of Landau's inequality
• A return to the Hardy-Littlewood integral inequality

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