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 of nuclear spaces was developed by Alexander Grothendieck and published in (Grothendieck 1955).
Read more about Nuclear Space: Definition, Examples, Properties, Bochner–Minlos Theorem
Famous quotes containing the words nuclear and/or space:
“We now recognize that abuse and neglect may be as frequent in nuclear families as love, protection, and commitment are in nonnuclear families.”
—David Elkind (20th century)
“I take SPACE to be the central fact to man born in America.... I spell it large because it comes large here. Large and without mercy.”
—Charles Olson (1910–1970)