Vector Fields and Their Duals

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In this note we look at a number of infinite-dimensional R-vector spaces that arise in analysis, and we consider their dual and double dual spaces. As an application, we give an example of an infinite-dimensional vector space V for which the natural map η : V → V ∗∗ is not an isomorphism. In analysis, duals and double duals of vector spaces are often defined differently than in algebra, by cons...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2000

ISSN: 0001-8708

DOI: 10.1006/aima.1999.1850