On the directional growth of the resolvent norm

Horia Cornean, Henrik Garde, Arne Jensen

Let $A$ be a closed densely defined operator on a separable Hilbert space $\mathcal{H}$. Assume the resolvent set $\ddot{I}(A)$ is non-empty. For $z,z^{\prime }\in \ddot{I}(A)$ let $[z,z^{\prime }]$ denote the s…