On the accessibility of control system
Any LF-space is sequentially complete iff it is regular.
An inductive locally convex limit of reflexive topological spaces is reflexive iff it is almost regular.
Any inductive limit of bornivorously webbed spaces is sequentially complete iff it is regular.
Spaces , , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.
A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.
Page 1 Next