On the growth of analytic semigroups along vertical lines
Volume 138 / 2000
Studia Mathematica 138 (2000), 165-177
DOI: 10.4064/sm-138-2-165-177
Abstract
We construct two Banach algebras, one which contains analytic semigroups such that |a^{1+iy}| → ∞ arbitrarily slowly as |y| → ∞, the other which contains ones such that |a^{1+iy}| → ∞ arbitrarily fast
