论文标题
乘数的最大模量原理和平均的千古乘法运算符
Maximum Modulus Principle For Multipliers and Mean Ergodic Multiplication Operators
论文作者
论文摘要
本说明的主要目的是表明，在连接的Hausdorff拓扑空间上，（不一定是全体形态）连续函数的宽类空间（除非是常数，否则它们都无法达到其乘数规范。作为应用程序，承包乘法运算符是具有常数的乘法，或者是完全不单身的乘法。此外，我们探索了乘法算子是（弱）紧凑而（均匀）均值的可能性的可能性。
The main goal of this note is to show that (not necessarily holomorphic) multipliers of a wide class of normed spaces of continuous functions over a connected Hausdorff topological space cannot attain their multiplier norms, unless they are constants. As an application, a contractive multiplication operator is either a multiplication with a constant, or is completely non-unitary. Additionally we explore possibilities for a multiplication operator to be (weakly) compact and (uniformly) mean ergodic.
