Hilbert空间上解析函数的最大模原理

Maximan Modulus Principle of Analytic Functions on Hilbert Space

本文主要讨论了 H 空间上的最大模得到在区域 D 上取值于 H 空间的解析函数,若模在 D 上取最大值,则必为常值解析函数.

In this paper we have discussed Maximum moulus principle on Hilbert space.We have follow result.Let H be a complex Hilbert space.D an open subset of C,f an analytic map- ping of D into H.if ‖f‖ have Maximum value in D Then f Must be analytic function of an Constant vlue.