Finitely generated gyrovector subspaces and orthogonal gyrodecomposition in the Möbius gyrovector space

DOI10.1016/j.jmaa.2016.11.039zbMath1357.15002OpenAlexW2553182215MaRDI QIDQ504830

Toshikazu Abe, Keiichi Watanabe

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.039

zbMATH Keywords

Möbius gyrogroupMöbius gyrovector spaceorthogonal gyrodecomposition

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Möbius geometries (51B10)

Related Items (6)

On a notion of complex Möbius gyrovector spaces ⋮ Fuzzy gyronorms on gyrogroups ⋮ Orthogonal gyroexpansion in Möbius gyrovector spaces ⋮ On Metric Structures of Normed Gyrogroups ⋮ On Lipschitz continuity with respect to the Poincaré metric of linear contractions between Möbius gyrovector spaces ⋮ Continuous quasi gyrolinear functionals on Möbius gyrovector spaces

Cites Work

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• Generalized gyrovector spaces and a Mazur--Ulam theorem

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