Counterexample to dissipativity of generator
up vote
0
down vote
favorite
Show that $Gf=f'''$ is not a generator on $D(G)=C^3_0(mathbb{R})$ . Clearly, the condition that should fail here is dissipativity, i.e. I need to find an $fin D(G)$ s.t. $lvert(lambda -G)frvert < lambda lvert f rvert$ . I am at loss and would appreciate any hints for a counterexample.
functional-analysis operator-theory examples-counterexamples
share | cite | improve this question
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k 7 23 43
asked yesterday
...