174 citations · 370 across the 32 of their papers we have counts for
6 papers · 1 filter
Surjectivity of the -operator between weighted spaces of smooth vector-valued functions
Karsten Kruse
We derive sufficient conditions for the surjectivity of the Cauchy-Riemann operator between spaces of weighted smooth Fréchet-valued functions. This is done b…
On the nuclearity of weighted spaces of smooth functions
Karsten Kruse
Nuclearity plays an important role for the Schwartz kernel theorem to hold and in transferring the surjectivity of a linear partial differential operator from scalar-valued to vect…
Extension of vector-valued functions and sequence space representation
Karsten Kruse
We give a unified approach to handle the problem of extending functions with values in a locally convex Hausdorff space over a field , which have weak extensions in…
The approximation property for weighted spaces of differentiable functions
Karsten Kruse
We study spaces of -times continuously partially differentiable functions on an open set with values in a locally convex Hausdor…
Series representations in spaces of vector-valued functions via Schauder decompositions
Karsten Kruse
It is a classical result that every -valued holomorphic function has a local power series representation. This even remains true for holomorphic functions with values i…
Subordination for sequentially equicontinuous equibounded -semigroups
Karsten Kruse, Jan Meichsner, Christian Seifert
We consider operators on a sequentially complete Hausdorff locally convex space such that generates a (sequentially) equicontinuous equibounded -semigroup. For ev…