Nuclear Space
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Nuclear Space

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High Quality Content by WIKIPEDIA articles! In mathematics, a nuclear space is a topological vector space with many of the good properties of finite-dimensional vector spaces. The topology on them can be defined by a family of seminorms whose unit balls decrease rapidly in size. Vector spaces whose elements are "smooth" in some sense tend to be nuclear spaces; a typical example of a nuclear space is the set of smooth functions on a compact manifold. Although important, nuclear spaces are not widely used, possibly because the definition is notoriously difficult to understand. Much of the theory...