A note on \(B\)-complete spaces and the closed graph theorem
It is proved that a generalized *-inductive limit \(E\) of a sequence of compact sets is \(B\)-complete, and that a closed linear map from \(E\) into itself is continuous, though this fails for an arbitrary \(B\)-complete space. It is also shown that a \(B\)-complete space in which subspaces are closed, has countable dimension.
scientific article; zbMATH DE number 4034379
scientific article