论文标题
真实遗传性不可分解的Banach空间的一般线性组的连接组件
Connected components of the general linear group of a real hereditarily indecomposable Banach space
论文作者
论文摘要
我们对真实遗传性不可分解的Banach空间的一般线性组的连接组件的结构进行完整描述，这取决于空间本身和其超平面上的复杂结构的存在。一个侧面结果是，复杂的结构不能同时存在于这样的空间及其超平面上。
We give a complete description of the structure of the connected components of the general linear group of a real hereditarily indecomposable Banach space, depending on the existence of complex structures on the space itself and on its hyperplanes. A side result is the fact that complex structures cannot exist simultaneously on such a space and on its hyperplanes.
