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Sufficient conditions for a continuous linear operator to be weakly compact
Published online by Cambridge University Press: 17 April 2009
Abstract
A locally convex topological vector (LCTV) space E is said to have property V (Dieudonné property) if for every complete separated LCTV space F, every unconditionally converging (weakly completely continuous) operator T: E → F is wsakly compact. First, an investigation of the permanence of property V is given. The permanence of the Dieudonné is analogous. Relationships between property V and the Dieudonné property are then given.
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- Copyright © Australian Mathematical Society 1972
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