Two Characterizations of Linear Baire Spaces
Two Characterizations of Linear Baire Spaces
The Wilansky-Klee conjecture is equivalent to the (unproved) conjecture that every dense, $1$-codimensional subspace of an arbitrary Banach space is a Baire space (second category in itself). The following two characterizations may be useful in dealing with this conjecture: (i) A topological vector space is a Baire space if and …