论文标题
fekete-szegö问题用于Banach空间中的螺旋状映射和非线性分解
The Fekete--Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces
论文作者
论文摘要
我们在复杂的Banach空间的开放单位球上研究Fekete--szegö问题。也就是说,相对于任意强大的操作员及其某些子类别,fekete--szegö的不平等现象被证明是螺旋状映射类别的类别。接下来,我们考虑非线性解析的家庭,以使霍明式产生的映射在起源中消失。我们解决了这些家庭的fekete--szegö问题。
We study the Fekete--Szegö problem on the open unit ball of a complex Banach space. Namely, the Fekete--Szegö inequalities are proved for the class of spirallike mappings relative to an arbitrary strongly accretive operator, and some of its subclasses. Next, we consider families of non-linear resolvents for holomorphically accretive mappings vanishing at the origin. We solve the Fekete--Szegö problem over these families.