Advertisement
Published in:
2008 | OriginalPaper | Chapter
Contraction Semigroups on L ∞(R)
Authors : Antonius F. M. ter Elst, Derek W. Robinson
Published in: Functional Analysis and Evolution Equations
Publisher: Birkhäuser Basel
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
If
X
is a non-degenerate derivation on
R
and
H
=
−X
2
we examine conditions for the closure of
H
to generate a weakly* continuous semigroup on
L
∞
which extends to the
L
p
-spaces. We give an example which cannot be extended and an example which extends but for which the real part of the generator on
L
2
is not lower semibounded.