Schwartz spaces and compact holomorphic mappings.
Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
Sequence space representations for (FN)-algebras of entire functions modulo closed ideals
Sequential completeness and regularityof inductive limits of webbed spaces
Any inductive limit of bornivorously webbed spaces is sequentially complete iff it is regular.
Sequential completeness of inductive limits.
Sequential completeness of LF-spaces
Any LF-space is sequentially complete iff it is regular.
Sequential retractivities and regularity on inductive limits
In this paper we prove the following result: an inductive limit is regular if and only if for each Mackey null sequence in there exists such that is contained and bounded in . From this we obtain a number of equivalent descriptions of regularity.
Sequentially complete inductive limits and regularity
A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.
Sobre espacios (LF) metrizables.
Sobre los espacios Frechet-Schwartz de dimensión diametral máxima.
Sobre sumabilidad Cesáro en el espacio CS (II).
Some aspects of the modern theory of Fréchet spaces.
We survey some recent developments in the theory of Fréchet spaces and of their duals. Among other things, Section 4 contains new, direct proofs of properties of, and results on, Fréchet spaces with the density condition, and Section 5 gives an account of the modern theory of general Köthe echelon and co-echelon spaces. The final section is devoted to the developments in tensor products of Fréchet spaces since the negative solution of Grothendieck?s ?problème des topologies?.
Some locally convex spaces of regular distributions
Spectral trajectories,duality and inductive-projective limits of Hilbert spaces
Strict inductive and projective limits, twisted spaces and quojections
Strictly barrelled disks in inductive limits of quasi-(LB)-spaces.
Strictly Cosingular Operators on (DF)-Spaces.
Strictly webbed spaces and regularity properties of inductive limits.
Strong duals of projective limits of (LB)-spaces
We investigate the problem when the strong dual of a projective limit of (LB)-spaces coincides with the inductive limit of the strong duals. It is well-known that the answer is affirmative for spectra of Banach spaces if the projective limit is a quasinormable Fréchet space. In that case, the spectrum satisfies a certain condition which is called “strong P-type”. We provide an example which shows that strong P-type in general does not imply that the strong dual of the projective limit is the inductive...
Strongly nonnorming subspaces and prequojections