Generation and Representation

Part of the Applied Mathematical Sciences book series (AMS, volume 44)


Let X be a Banach space. A one parameter family T(t), 0 ≤t < ∞, of bounded linear operators from X into X is a semigroup of bounded linear operators on X if
  1. (i)

    T(0) = I, (I is the identity operator on X).

  2. (ii)

    T(t + s) = T, (t)T(s) for very t, s ≥ 0 (the semigroup property).



Banach Space Linear Operator Bounded Operator Bounded Interval Bounded Linear Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York, Inc. 1983

Authors and Affiliations

  • A. Pazy
    • 1
  1. 1.Planning and Budgeting CommitteeCouncil for Higher EducationJerusalemIsrael

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