Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality
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Publication:3644331
DOI10.1080/10652460902910054zbMath1176.30004OpenAlexW2004282830MaRDI QIDQ3644331
Publication date: 4 November 2009
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://vuir.vu.edu.au/17963/
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) Power series (including lacunary series) in one complex variable (30B10)
Related Items (14)
Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ Further inequalities for sequences and power series of operators in Hilbert spaces via Hermitian forms ⋮ Vector Inequalities for a Projection in Hilbert 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 ⋮ Generalizations of Buzano inequality for \(n\)-tuples of vectors in inner product spaces with applications ⋮ Norm inequalities of Čebyšev type for power series in Banach algebras ⋮ Some vector inequalities for two operators in Hilbert spaces with applications ⋮ Power series inequalities via Buzano's result and applications ⋮ Some inequalities for power series with applications ⋮ Reverses of Schwarz inequality in inner product spaces with applications ⋮ Power series inequalities via a refinement of the Schwarz inequality ⋮ On some inequalities for numerical radius of operators in Hilbert spaces
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