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Linear operators whose domain is locally convex
Published online by Cambridge University Press: 20 January 2009
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Let F be an arbitrary topological vector space; we shall say that a subset S of F is quasi-convex if the set of continuous affine functionals on S separates the points of S. If X is a Banach space and T : X → F is a continuous linear operator, then T is quasi-convex if is quasi-convex, where U is the unit ball of X.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 4 , September 1977 , pp. 293 - 299
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- Copyright © Edinburgh Mathematical Society 1977
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