In this paper, we introduce the class ∑[α,β] of meromorphic univalent operatorvalued functions with positive operator coefficient on Hilbert space. And we obtain a sufficient and necessary condition and operator coefficient estimates for f(z)∈∑[α,ββ] and show that the class ∑[α,β] is closed under arithmetic means and convex linear combinations.%本文讨论了Hilbert空间中具有正算子系数的亚纯单叶算子值函数集∑[α,β],得到了f(z)∈∑[α,β]的充要条件及算子系数估计,并表明在算术平均及凸线性组合下∑[α,β]是闭的.
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