On Bessel and Grüss inequalities for orthonormal families in inner product spaces

DOI10.1017/S0004972700036066zbMath1069.26019arXivmath/0305295MaRDI QIDQ4824819

Sever Silvestru Dragomir

Publication date: 1 November 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305295

zbMATH Keywords

Bessel inequalityinner product spaceGrüss type 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 (15)

Further inequalities for sequences and power series of operators in Hilbert spaces via Hermitian forms ⋮ Unnamed Item ⋮ On generalizations of Grüss inequality in inner product spaces and applications ⋮ Inequalities of Čebyšev type for Lipschitzian functions in Banach algebras ⋮ Hermitian forms and inequalities for sequences and power series of operators in Hilbert spaces ⋮ A Buzano type inequality for two Hermitian forms and applications ⋮ Inequalities for Chebyshev Functional in Banach Algebras ⋮ Refinements of Kantorovich inequality for Hermitian matrices ⋮ New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces ⋮ On the Cauchy-Schwarz inequality and several inequalities in an inner product space ⋮ The orthogonal projections and several inequalities ⋮ Reverses of Schwarz inequality in inner product spaces with applications ⋮ Some refinements of Ostrowski's inequality and an extension to a 2-inner product space ⋮ On some inequalities for numerical radius of operators in Hilbert spaces ⋮ Pre-Grüss and Grüss-Ostrowski like inequalities in Banach spaces

Cites Work

• A generalization of Grüss's inequality in inner product spaces and applications

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