##  [Montel Space](/montel-space) 

  ##  [Montel Space](https://puremath.quantumdictionary.io/montel-space-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A locally convex topological vector space in which every closed and bounded subset is compact; equivalently a space where every bounded sequence has a convergent subsequence and bounded sets are relatively compact.