Abstract
Let H be a separable complex Hilbert space. A commuting tuple $$(T_1, \cdots, T_n)$$ of bounded linear operators on H is called a spherical isometry if the relation $$T^*_1T_1+T^*_2T_2+\cdots+T^*_nT_n = 1_H$$ holds. In this note it is shown that each spherical isometry is reflexive.
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