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Erschienen in:
2017 | OriginalPaper | Buchkapitel
Duality
verfasst von : V. I. Bogachev, O. G. Smolyanov
Erschienen in: Topological Vector Spaces and Their Applications
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A powerful method of proving a great number of results in the theory of locally convex spaces employs passage from some subsets in such spaces to their polars, which are subsets of the dual spaces. Moreover, in place of properties of the original sets certain properties of their polars are studied and then one returns back, more precisely, to the polars of polars (the so-called bipolars), which are absolutely convex closed hulls of the original sets.