Generation and Representation
Part of the Applied Mathematical Sciences book series (AMS, volume 44)
- 2.6k Downloads
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
T(0) = I, (I is the identity operator on X).
T(t + s) = T, (t)T(s) for very t, s ≥ 0 (the semigroup property).
KeywordsBanach 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.
Unable to display preview. Download preview PDF.
© Springer-Verlag New York, Inc. 1983