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MR929010 (89f:55007) 55N91 (47H99)
Mramor-Kosta, Neža The set of balanced points with respect to $S\sp 1$ and $S\sp 3$ actions of maps into Banach space. Proc. Amer. Math. Soc. 102 (1988), no. 3, 723–727.
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