Inequalities for quadratic polynomials in Hermitian and dissipative operators

DOI10.1016/0001-8708(84)90012-4zbMath0542.47025OpenAlexW2058638065WikidataQ56319606 ScholiaQ56319606MaRDI QIDQ795303

Béla Bollobás, Jonathan R. Partington

Publication date: 1984

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90012-4

zbMATH Keywords

numerical rangeHermitian operatordissipative operatorHardy-Littlewood inequalityinequalities of Hadamard and Landaureal quadratic polynomial

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Numerical range, numerical radius (47A12) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal Landau-Kolmogorov inequalities for dissipative operators in Hilbert and Banach spaces
• A Kallman-Rota inequality for nearly Euclidean spaces
• Some remarks on inequalities of Landau and Kolmogorov
• Dissipative operator versions of some classical inequalities
• Kolmogorov estimates for derivatives in \(L_2[0,\infty)\)
• On an inequality of Hardy, Littlewood, and Pólya
• Subspaces of certain Banach Sequence Spaces
• Landau-Kolmogorov Inequalities for Semigroups and Groups
• Constants relating a Hermitian operator and its square
• SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS
• The Spatial Numerical Range and Powers of an Operator
• On inequalities between the powers of a linear operator

This page was built for publication: Inequalities for quadratic polynomials in Hermitian and dissipative operators