Characterization of \(p\)-Banach spaces based on a reverse triangle inequality

DOI10.1007/s40840-023-01566-3zbMath1530.46002OpenAlexW4385616973MaRDI QIDQ6174629

Asiyeh Rezaei, Farzad Dadipour

Publication date: 17 August 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-023-01566-3

zbMATH Keywords

triangle inequality of the second type\(p\)-Banach spaceAoki-Rolewicz theoremcharacterization of \(p\)-Banach spacereverse of the generalized triangle inequality

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Geometry and structure of normed linear spaces (46B20)

Cites Work

• Another approach to characterizations of generalized triangle inequalities in normed spaces
• Characterization of a generalized triangle inequality in normed spaces
• On functions preserving regular semimetrics and quasimetrics satisfying the relaxed polygonal inequality
• Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence
• Refinement of triangle inequality for the Schatten \(p\)-norm
• Extension of Dunkl-Williams inequality and characterizations of inner product spaces
• A reconsideration of Hua's inequality. II.
• Refined generalizations of the triangle inequality on Banach spaces
• Generalized triangle inequality of the second type in quasi normed spaces
• History of Banach Spaces and Linear Operators
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