On a generalization of a complementary triangle inequality in Hilbert spaces and Banach spaces

DOI10.1007/s13226-020-0498-1zbMath1475.46014OpenAlexW3119182247MaRDI QIDQ828966

Debmalya Sain

Publication date: 5 May 2021

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://eprints.iisc.ac.in/67719/1/Sain2020_Article_OnAGeneralizationOfAComplement.pdf

zbMATH Keywords

convexitynormed spacestriangle inequalityinner product spaces

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20)

Cites Work

• Some reverses of the generalised triangle inequality in complex inner product spaces
• On the norm attainment set of a bounded linear operator and semi-inner-products in normed spaces
• Operator norm attainment and inner product spaces
• Complementary inequalities. I: Inequalities complementary to Cauchy's inequality for sums of real numbers. II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals. III: Inequalities complementary to Schwarz's inequality in Hilbert space
• Semi-Inner-Product Spaces
• A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
• Classes of Semi-Inner-Product Spaces
• A Complementary Triangle Inequality in Hilbert and Banach Spaces
• Some Applications of the Inequality of Arithmetic and Geometric Means to Polynomial Equations
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