Advertisement

Generation and Representation

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

Abstract

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).

     

Keywords

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York, Inc. 1983

Authors and Affiliations

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

Personalised recommendations