A characterization of inner product spaces related to the skew-angular distance

DOI10.1134/S0001434613030231zbMath1274.46060arXiv1301.1001OpenAlexW2160432879MaRDI QIDQ351655

Hossein Dehghan

Publication date: 8 July 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1001

zbMATH Keywords

normed linear spaceinner product spacetriangle inequalityangular distanceskew-angular distance

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15)

Related Items (10)

Comparison of the normalized Jensen functionals of two convex functions with applications ⋮ Unnamed Item ⋮ Operator inequalities related to p-angular distances ⋮ Norm inequalities via convex and log-convex functions ⋮ Characterizations of inner product spaces via angular distances and Cauchy-Schwarz inequality ⋮ Geometric aspects of \(p\)-angular and skew \(p\)-angular distances ⋮ Bounds for the \(p\)-angular distance and characterizations of inner product spaces ⋮ Extension of Dunkl-Williams inequality and characterizations of inner product spaces ⋮ Inequalities for the normalized Jensen functional with applications ⋮ Norm inequalities and characterizations of inner product spaces

Cites Work

• Some remarks on the triangle inequality for norms
• Linear differential equations and functional analysis. I
• On certain implications which characterize Hilbert space
• Simple Norm Inequalities
• A Simple Norm Inequality
• Uniformly Convex Spaces

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