Definition of Infrabarreled. Meaning of Infrabarreled. Synonyms of Infrabarreled

- topological vector space (TVS) is said to be infrabarrelled (also spelled infrabarreled) if every bounded barrel is a neighborhood of the origin. Similarly...
- Mackey spaces include: All barrelled spaces and more generally all infrabarreled spaces Hence in particular all bornological spaces and reflexive spaces...
- X {\displaystyle X} is a bornological space if and only if it is an infrabarreled space, if and only if it is a barreled space. If X {\displaystyle X}...
- bidual is a topological embedding if and only if X {\displaystyle X} is infrabarreled. If X {\displaystyle X} is a Hausdorff locally convex space then the...
- Graph Theorem — A closed and bounded linear map from a locally convex infrabarreled space into a complete pseudometrizable locally convex space is continuous...
- C ′ . {\displaystyle C^{\prime }.} and if X {\displaystyle X} is an infrabarreled locally convex space and if B ′ {\displaystyle {\mathcal {B}}^{\prime...
- if and only if it has all of these properties: (1) bornological, (2) infrabarreled, (3) barreled. A topological vector space is seminormable if and only...
- vector space Countably barrelled space Countably quasi-barrelled space Infrabarreled space Uniform boundedness principle#Generalisations – A theorem stating...
- Barrelled space Countably barrelled space Countably quasi-barrelled space Infrabarreled space Ultrabarrelled space Uniform boundedness principle#Generalisations...
- normed space is a DF-space. Every Banach space is a DF-space. Every infrabarreled space possessing a fundamental sequence of bounded sets is a DF-space...