标题： 与六边形块相关的运算符 显示英文标题

标题： Operators associated with the hexablock

摘要： 六边块是从$\mu$合成问题的一个特殊情形中产生的区域。 我们研究以六边块作为谱集的交换算子元组。 这样的元组被称为六边块压缩或简称为$\mathbb H$压缩。 我们刻画与$\mathbb H$压缩相关的酉算子和等距算子。 得到了两种不同类型的$\mathbb H$压缩的扩张结果。 我们发现该理论与关联于对称双圆盘和四边块的算子之间的联系，这两个其他区域与$\mu$合成问题相关。 显示英文摘要

摘要： The hexablock is a domain arising from a special case of the $\mu$-synthesis problem. We study the commuting operator tuples having the hexablock as a spectral set. Such a tuple is called a hexablock-contraction or simply $\mathbb H$-contraction. We characterize the unitaries and isometries associated with $\mathbb H$-contractions. Two different types of dilation results for $\mathbb H$-contractions are obtained. We find connection of this theory with the operators associated with the symmetrized bidisc and tetrablock, two other domains related to the $\mu$-synthesis problem.