Functional analysis: Difference between revisions

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==Major and foundational results==
 
There are four major theorems which are sometimes called the four pillars of functional analysis:

* the [[Hahn–Banach theorem]],
* the [[Open mapping theorem (functional analysis)|open mapping theorem]],
* the [[Closed graph theorem (functional analysis)|closed graph theorem]] and
* the [[uniform boundedness principle]], also known as the [[Banach–Steinhaus theorem]].

Important results of functional analysis include:
 
===Uniform boundedness principle===