Some Perturbation Results for Analytic Semigroups.
A note on the comparison of C0-semigroups.
On relatively bounded perturbations of linear -semigroups
Some Remarks on the Equivalence Between Metric Formulations of Gradient Flows
The aim of this short note is to prove the equivalence of certain definitions of solutions to an evolution variational inequality in metric spaces, introduced by Ambrosio, Gigli, Savaré, and Daneri, Savaré.
Hypercyclicity of Semigroups is a Very Unstable Property
Hypercyclicity of -semigroups is a very unstable property: We give examples to show that adding arbitrary small constants or a bounded rank one operator to the generator of a hypercyclic semigroup can destroy hypercyclicity. Also the limit of hypercyclic semigroups (even in operator norm topology) need not be hypercyclic, and a hypercyclic semigroup can be the limit of nonhypercyclic ones. Hypercyclicity is not inherited by the Yosida approximations. Finally, the restriction of...
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