Vector Inequalities for a Projection in Hilbert Spaces and Applications

DOI10.1007/978-3-319-49242-1_9zbMath1380.46016OpenAlexW2604543070MaRDI QIDQ5348596

Sever Silvestru Dragomir

Publication date: 18 August 2017

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49242-1_9

zbMATH Keywords

Hilbert spaceSchwarz inequalitynorm inequalitiesorthogonal projectionnumerical radiusBuzano inequality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Numerical range, numerical radius (47A12) Inequalities for sums, series and integrals (26D15)

Cites Work

• The numerical radius of a commuting product
• Numerical radii of zero-one matrices
• New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces
• A generalization of Grüss's inequality in inner product spaces and applications
• Another look at some new Cauchy-Schwarz type inner product inequalities
• Quasilinearity of some composite functionals associated to Schwarz's inequality for inner products
• A Bessel-Schwarz inequality for Gramians and related bounds for determinants
• The Cauchy-Schwarz inequality and self-adjoint spaces
• Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality
• Strengthened Cauchy-Schwarz and H\"older inequalities
• Unitarily Invariant Operator Norms
• Operator Radii of Commuting Products
• A strengthened Cauchy-Schwarz inequality for biorthogonal wavelets
• Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
• INEQUALITIES FOR THE NORM AND THE NUMERICAL RADIUS OF LINEAR OPERATORS IN HILBERT SPACES
• THE CAUCHY-SCHWARZ INEQUALITY IN THE EXTERIOR ALGEBRA
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