The Holomorphic 2-Number of a Hermitian Symmetric Space

This paper contains a proof a priori (i.e. independent of the classification of Hermitian symmetric spaces) of a theorem on the holomorphic 2-number of a Hermitian symmetric space. If N=G/K is a Hermitian symmetric space, where G is a compact simply connected simple Lie group, T a maximal torus of G and F(T,N) = E₁,... , E_m is the fixed point set of T in N, then for each pair E_i, E_j there is a two-dimensional sphere N_ij N such that E_i and E_j are antipodal points of N_ij.