4
$\begingroup$

A relation T with domain and range in a Hilbert space is said to be accretive if the transformation $ (T − \lambda)/(T + \bar \lambda\ ) $ with domain and range in the Hilbert space is contractive for some, and hence every, complex number $\lambda$ in the right half–plane.

How does some $\lambda$ imply for all $\lambda$? De Branges states this in his "proof" of RH (in fact uses it quite extensively). Also can anyone suggest references for such operators.

Improve this question
$\endgroup$

1 Answer 1

Reset to default
2
$\begingroup$

Check Kato: Perturbation theory..., Section V.3.10.

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .