A new scale-invariant geometry on \(L_ 1\) spaces.

DOI10.1016/j.aml.2004.06.011zbMath1079.92052OpenAlexW2030499682MaRDI QIDQ1767130

Xianqiang Yang

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.06.011

zbMATH Keywords

geodesicsscale invariancetriangle inequalityNTV-metric\(L_1\) geometry\(L_1\) space

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Protein sequences, DNA sequences (92D20)

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Cites Work

• A simple proof of the triangle inequality for the NTV metric
• A metric space to study differences between polynucleotides

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