canonical decomposition of 1947
Answers
Answered by
0
Answer:
Abstract. For the generator A of a strongly continuous group on a Hilbert
space, we modify Liapunov’s method of changing the scalar product to obtain a decomposition A = B + C with B skew-adjoint and C bounded and
selfadjoint (with respect to the new scalar product). This yields a new proof
of the fact that A has bounded H
∞–calculi on vertical strips. Furthermore
we show that, with respect to the new scalar product, A
2
can be obtained
by a closed sectorial form in the sense of Kato
Step-by-step explanation:
Similar questions