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单词 OpenMappingTheorem
释义

open mapping theorem


There are two important theorems having this .

In the context of functions of a complex variable:

Theorem. Every non-constant analytic functionMathworldPlanetmath on a region is an open mapping.

In the context of functional analysisMathworldPlanetmath:

Theorem. Every surjective continuous linear mapping between two Banach spacesMathworldPlanetmath is an open mapping.

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更新时间:2025/5/4 17:03:06