17 citations · 55 across the 10 of their papers we have counts for
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math.FA2012★ 6 cited
Mean ergodic theorems on norming dual pairs
Moritz Gerlach, Markus Kunze
We extend the classical mean ergodic theorem to the setting of norming dual pairs. It turns out that, in general, not all equivalences from the Banach space setting remain valid in…
math.FA2012★ 17 cited
On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators
Moritz Gerlach
Given a positive, irreducible and bounded C_0-semigroup on a Banach lattice with order continuous norm, we prove that the peripheral point spectrum of its generator is trivial when…