On a class of nuclear spaces - I
On a Problem of Bellenot and Dubinsky.
On a Tensor Product Characterization of Nuclearity.
On certain subspaces of a nuclear power series spaces of finite type
On completely continuous maps from locally convex spaces to l1.
On exact sequences of quojections.
We give some general exact sequences for quojections from which many interesting representation results for standard twisted quojections can be deduced. Then the methods are also generalized to the case of nuclear Fréchet spaces.
On extending and lifting continuous linear mappings in topological vector spaces
On Grothendieck space ideals.
On ideals of operators and of locally convex spaces.
On isomorphic classification of tensor products [Book]
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
On multipliers of temperate distributions
On non-primary Fréchet Schwartz spaces
Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition, and let F be any infinite-dimensional subspace of E. It is proved that E can be written as G ⨁ H where G and H do not contain any subspace isomorphic to F. In particular, E is not primary. If the subspace F is not normable then the statement holds for other quasinormable Fréchet spaces, e.g., if E is a quasinormable and locally normable Köthe sequence space, or if E is a space of holomorphic functions...
On pseudonormability of some particular classes of spaces
On Schwartz groups
We introduce a notion of a Schwartz group, which turns out to be coherent with the well known concept of a Schwartz topological vector space. We establish several basic properties of Schwartz groups and show that free topological Abelian groups, as well as free locally convex spaces, over hemicompact k-spaces are Schwartz groups. We also prove that every hemicompact k-space topological group, in particular the Pontryagin dual of a metrizable topological group, is a Schwartz group.
On Some Spaces Of Analytic Functions And Their Duality Relations.
On Tensor Product Characterization of Nuclear Spaces.
On the algebra of smooth operators
Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fréchet algebra L(s',s) of so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a Hölder continuous functional calculus in this algebra. The key tool is the property (DN) of s.
On the BAP in Fréchet Schwartz Spaces and Their Duals.
On the Completition of (LF)-Spaces.