Page 1

Displaying 1 – 9 of 9

Showing per page

Regular inductive limits of K-spaces.

Thomas E. Gilsdorf (1991)

Collectanea Mathematica

A well-known result for bounded sets in inductive limits of locally convex spaces is the following: If each of the constituent spaces En are Fréchet spaces and E is the inductive limit of the spaces En, then each bounded subset of E is bounded in some En iff E is locally complete. Using DeWilde's localization theorem, we show here that the completeness of each En and the local completeness of E may be replaced with the conditions that the spaces En are all webbed K-spaces and E is locally Baire,...

Currently displaying 1 – 9 of 9

Page 1