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In the Rätz’s sens of orhtoganality, can we find an exemple of an involution u(different to -Id)such that x orthogonal to y then x orthogonal to u(y)

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    $\begingroup$ Your question is unclear. Do you want an example for every Rätz's orthogonality or for some Rätz's orthogonality? Also, I guess you want to exclude the identity involution. $\endgroup$
    – Iosif Pinelis
    Commented Jul 2, 2023 at 12:37
  • $\begingroup$ An exemple for some Rätz’s orthogonality, the involution should be not trivial like identity and -identity. Thanks $\endgroup$
    – MOHAMED TALLA
    Commented Jul 3, 2023 at 9:43

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