Randverteilungen holomorpher Funktionen und die Topologie von D'.
Integrationstheorie in p-normierten Räumen
Distinguished Köthe Spaces.
Tame Spaces and Power Series Spaces.
Temperierte vektorwertige Distributionen und langsam wachsende holomorphe Funktionen.
An Example of a Nuclear Fréchet Space Without the Bounded Approximation Property.
Charakterisierung der Unterräume von s.
Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
Vektorwertige Distributionen als Randverteilungen holomorpher Funktionen.
Eine Charakterisierung der Potenzreihenräume von endlichem Typ und ihre Folgerungen.
Distributionen auf dem RN als Randverteilungen holomorpher Funktionen.
Charakterisierung der Unterraüme eines nuklearen stabilen Potenzreihenraumes von endlichen Typ
On the functors Ext¹(E,F) for Fréchet spaces
The tensor algebra of power series spaces
The linear isomorphism type of the tensor algebra T(E) of Fréchet spaces and, in particular, of power series spaces is studied. While for nuclear power series spaces of infinite type it is always s, the situation for finite type power series spaces is more complicated. The linear isomorphism T(s) ≅ s can be used to define a multiplication on s which makes it a Fréchet m-algebra . This may be used to give an algebra analogue to the structure theory of s, that is, characterize Fréchet m-algebras...
Spaces of Whitney jets on self-similar sets
It is shown that complemented subspaces of s, that is, nuclear Fréchet spaces with properties (DN) and (Ω), which are 'almost normwise isomorphic' to a multiple direct sum of copies of themselves are isomorphic to s. This is applied, for instance, to spaces of Whitney jets on the Cantor set or the Sierpiński triangle and gives new results and also sheds new light on known results.
Structure theory of power series spaces of infinite type.
The paper gives a complete characterization of the subspaces, quotients and complemented subspaces of a stable power series space of infinite type without the assumption of nuclearity, so extending previous work of M. J. Wagner and the author to the nonnuclear case. Various sufficient conditions for the existence of bases in complemented subspaces of infinite type power series spaces are also extended to the nonnuclear case.
Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly
The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.
Non-natural topologies on spaces of holomorphic functions
It is shown that every proper Fréchet space with weak*-separable dual admits uncountably many inequivalent Fréchet topologies. This applies, in particular, to spaces of holomorphic functions, solving in the negative a problem of Jarnicki and Pflug. For this case an example with a short self-contained proof is added.
Characterization of Convolution Operators on Spaces of C-Functions Admitting a Continuous Linear Right Inverse.
The Splitting Relation for Köthe Spaces.
Page 1 Next