On certain generalized isometries of the special orthogonal group
classification
🧮 math.FA
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generalizedgroupisometriesorthogonalspecialcertainakiyamaclass
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In this paper we explore the structure of certain generalized isometries of the special orthogonal group $SO(n)$ which are transformations that leave any member of a large class of generalized distance measures invariant. This gives us a far-reaching generalization of the former structural result of T. Abe, S. Akiyama and O. Hatori concerning $c$-spectral isometries of the special orthogonal group.
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