Baire-like spaces C(X,E)
We characterize Baire-like spaces Cc(X,E) of continuous functions defined on a locally compact and Hewitt space X into a locally convex space E endowed with the compact-open topology.
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
In this article we formalize one of the most important theorems of linear operator theory - the Closed Graph Theorem commonly used in a standard text book such as [10] in Chapter 24.3. It states that a surjective closed linear operator between Banach spaces is bounded.
Barreledness of subspaces of countable codimension and the closed graph theorem
Barrelled Spaces with a B-Complete Completion.
Bounded sets in fast complete inductive limits.
Boundedly barrelled spaces and the open mapping theorem
Br-Complete Spaces which are not B-Complete.
Brève communication. Continuité des applications linéaires multivoques