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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Σ[α，β]，得到了f(z)∈Σ[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Σ[α，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 |
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| 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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