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Topologies and duality of κ-normed vector spaces

linear structure in [3]. Topological vector spaces endowed with a κ-norm were defined and investigated in the paper [4], a κ-norm being a non-negative function ρ on X × SX satisfying some definite conditions, where SX = 2 X o or SX = 2 X δ is the family of all canonical closed subsets of X or the family of all Gδ-subsets of X, respectively. In the present paper, we investigate duality of κ-normed spaces X × SX .