Linear Mappings and Duality
Continuous linear mappings between locally convex spaces are the subject of § 32. The most important result is the homomorphism theorem in § 32, 4. For (B)- and (F)-spaces much more can be said. § 33 contains a detailed investigation of these cases culminating in the homomorphism theorems for (B)- resp. (F)-spaces in § 33, 4. A lifting property for separable locally convex spaces leads to the theorem of Sobczyk.
KeywordsConvex Space Webbed Space Continuous Linear Mapping Closed Unit Ball Baire Space
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