 ##  [One-Parameter Semigroup (of Operators)](/one-parameter-semigroup-operators) 

  ##  [One-Parameter Semigroup (of Operators)](https://natural.quantumdictionary.io/one-parameter-semigroup-operators-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A family {T(t)}_{t≥0} of linear operators on a vector space or Banach space satisfying T(0)=I and T(s+t)=T(s)T(t) for all s,t≥0; when strongly continuous, t↦T(t)x is continuous for each x.