##  [Bounded Linear Operator](/bounded-linear-operator) 

  ##  [Bounded Linear Operator](https://puremath.quantumdictionary.io/bounded-linear-operator-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A linear map between normed vector spaces that maps bounded sets to bounded sets; equivalently a linear operator that is continuous on the whole space and has finite operator norm.