On the superadditivity and monotonicity of Gram's inequality and related results

DOI10.1007/BF00052196zbMath0854.15006OpenAlexW2092325540MaRDI QIDQ1917160

Sever Silvestru Dragomir, Bertram Mond

Publication date: 1 December 1996

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

Full work available at URL: https://doi.org/10.1007/bf00052196

zbMATH Keywords

monotonicityinner product spacelinear operatorsGram matrixsuperadditivityHadamard's inequalityGram determinantAczél inequalitySchwarz's inequalityGram's inequality

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

On a superaddivity property of Gram's determinant ⋮ More subtle versions of the Hadamard inequality ⋮ On reverse Schwarz, Bessel, Grüss and Hadamard inequalities in inner product spaces

Cites Work

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• On Bessel's and Gram's inequalities in prehilbertian spaces
• INEQUALITIES FOR GRAM DETERMINANTS
• ON THE GRAM DETERMINANT

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