On two classes of LF-spaces
Factorization of Montel operators
Consider the following conditions. (a) Every regular LB-space is complete; (b) if an operator T between complete LB-spaces maps bounded sets into relatively compact sets, then T factorizes through a Montel LB-space; (c) for every complete LB-space E the space C (βℕ, E) is bornological. We show that (a) ⇒ (b) ⇒ (c). Moreover, we show that if E is Montel, then (c) holds. An example of an LB-space E with a strictly increasing transfinite sequence of its Mackey derivatives is given.
On the three-space-problem for topological vector spaces.
On the Product of Two (Totally) Minimal Topological Groups and the Three-Space-Problem.
Examples on Projective Spectra of (LB)-spaces.
Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces
Discontinuous Translation-Invariant Linear Forms on K(G).
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