Means on dyadic symmetric sets and polar decompositions

DOI10.1007/BF02941530zbMath1146.51301OpenAlexW2055551539MaRDI QIDQ1766175

Yongdo Lim, Jimmie D. Lawson

Publication date: 28 February 2005

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02941530

zbMATH Keywords

geometric meansymmetric spacelooppolar decompositionmidpointsymmetric setspectral mean

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Means (26E60) Reflection groups, reflection geometries (51F15)

Related Items (6)

Inequalities and limits of weighted spectral geometric mean ⋮ Revisit on spectral geometric mean ⋮ Factorizations and geometric means of positive definite matrices ⋮ Metric convexity of symmetric cones ⋮ \(\varGamma \)-commuting triples of positive definite matrices and midpoint equations on unitary matrices ⋮ Symmetric spaces with convex metrics

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• On loops of odd order
• The Geometric Mean, Matrices, Metrics, and More
• Involutory decomposition of groups into twisted subgroups and subgroups
• A new positive definite geometric mean of two positive definite matrices

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