91 citations · 244 across the 32 of their papers we have counts for
8 papers · 2 filters
Desch-Schappacher Perturbation of One-Parameter Semigroups on Locally Convex Spaces
Birgit Jacob, Sven-Ake Wegner, Jens Wintermayr
We prove a Desch-Schappacher type perturbation theorem for strongly continuous and locally equicontinuous one-parameter semigroups which are defined on a sequentially complete loca…
The growth bound for strongly continuous semigroups on Fréchet spaces
Sven-Ake Wegner
We introduce the concepts of growth and spectral bound for strongly continuous semigroups acting on Fréchet spaces and show that the Banach space inequality e…
Maximal exact structures on additive categories
Dennis Sieg, Sven-Ake Wegner
We show that every additive category with kernels and cokernels admits a maximal exact structure. Moreover, we discuss two examples of categories of the latter type arising from fu…
Bornological projective limits of inductive limits of normed spaces
José Bonet, Sven-Ake Wegner
We establish a criterion to decide when a countable projective limit of countable inductive limits of normed spaces is bornological. We compare the conditions occurring within our…
Universal extrapolation spaces for C-semigroups
Sven-Ake Wegner
The classical theory of Sobolev towers allows for the construction of an infinite ascending chain of extrapolation spaces and an infinite descending chain of interpolation spaces a…
Projective limits of weighted LB-spaces of holomorphic functions
Sven-Ake Wegner
Countable projective limits of countable inductive limits, called PLB-spaces, of weighted Banach spaces of continuous functions have recently been investigated by Agethen, Biersted…
PLB-spaces of holomorphic functions with logarithmic growth conditions
Sven-Ake Wegner
Countable projective limits of countable inductive limits, called PLB-spaces, of weighted Banach spaces of continuous functions have recently been investigated by Agethen, Biersted…
Weighted PLB-spaces of continuous functions arising as tensor products of a Fréchet and a DF-space
Sven-Ake Wegner
Countable projective limits of countable inductive limits, so-called PLB-spaces, of weighted Banach spaces of continuous functions have recently been investigated by Agethen, Biers…