Quasilinearity of some composite functionals associated to Schwarz's inequality for inner products

DOI10.1007/s10998-012-9011-xzbMath1265.26067OpenAlexW2065400318MaRDI QIDQ2428643

Sever Silvestru Dragomir, Anca C. Goşa

Publication date: 26 April 2012

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-012-9011-x

zbMATH Keywords

additiveHermitian formsHilbert spacesselfadjoint operatorsbounded linear operatorsinner productssuperadditive and subadditive functionalsSchwarz's inequality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inequalities for sums, series and integrals (26D15)

Related Items (4)

Vector Inequalities for a Projection in Hilbert Spaces and Applications ⋮ Generalizations of Buzano inequality for \(n\)-tuples of vectors in inner product spaces with applications ⋮ Some vector inequalities for two operators in Hilbert spaces with applications ⋮ Reverses of Schwarz inequality in inner product spaces with applications

Cites Work

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• On a special form of the Cauchy-Schwarz inequality
• On Bessel's and Gram's inequalities in prehilbertian spaces
• A Bessel-Schwarz inequality for Gramians and related bounds for determinants
• The Cauchy-Schwarz inequality and self-adjoint spaces
• A strengthened Cauchy-Schwarz inequality for biorthogonal wavelets

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