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Hilbert空间中具有正算子系数的亚纯单叶算子值函数
引用本文:蹇明,张艳红.Hilbert空间中具有正算子系数的亚纯单叶算子值函数[J].数学杂志,2005,25(1):33-37.
作者姓名:蹇明  张艳红
作者单位:华中科技大学数学系,湖北,武汉,430074
摘    要: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Σα,β],得到了f(z)∈Σα,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Σα,β]是闭的.

关 键 词:算子值函数  算子系数估计  凸线性组合

MEROMORPHIC UNIVALENT OPERATOR-VALUED FUNCTIONS WITH POSITIVE OPERATOR COEFFICIENT ON HILBERT SPACE
Abstract.MEROMORPHIC UNIVALENT OPERATOR-VALUED FUNCTIONS WITH POSITIVE OPERATOR COEFFICIENT ON HILBERT SPACE[J].Journal of Mathematics,2005,25(1):33-37.
Authors:Abstract
Abstract: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.
Keywords:operator-valued function  operator coefficient estimates  convex linear combination
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