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Furthermore, let $K$ be the subgroup fixed by $\\theta$, and $\\tau:G\\to G, g\\mapsto g\\theta(g)^{-1}$. Let $A:=\\tau(T)$.\n  In this note, we show resp. revisit that $G$ admits a (refined) Iwasawa decompositions $G=UAK$. We also show that if $G$ is of non-spherical type, then it never admits a polar decomposition $G=\\tau(G)K$ nor a Cartan decompositions $G=KAK$. 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