The Fundamental Theorem of Functional Analysis

Описание к видео The Fundamental Theorem of Functional Analysis

Here is the most important theorem in functional analysis: A linear transformation T is bounded if and only if it is continuous. This allows us to easily check whether an operator is continuous, and is the quintessential fact that is the genesis to the whole field. Enjoy!

Functional Analysis Overview:    • Functional Analysis Overview  
Is the Derivative Continuous?    • is the derivative continuous?  
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