Displaying similar documents to “On duality between ( L 1 F ) -spaces and ( L 2 F ) -spaces”

Holomorphic functions on locally convex topological vector spaces. I. Locally convex topologies on ( U )

Sean Dineen (1973)

Annales de l'institut Fourier

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This article is devoted to a study of locally convex topologies on H ( U ) (where U is an open subset of the locally convex topological vector space E and H ( U ) is the set of all complex valued holomorphic functions on E ). We discuss the following topologies on H ( U ) : (a) the compact open topology I 0 , (b) the bornological topology associated with I 0 , (c) the ported topology of Nachbin I ω , (d) the bornological topology associated with I ω  ; and ...