normed vector space
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vector space on which a distance is defined
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Article
Hierarchy of mathematical spaces. Inner product spaces are a subset of normed vector spaces, which are a subset of metric spaces, which in turn are a subset of topological spaces.
In mathematics, a normed vector space or normed space is a vector space, typically over the real or complex numbers, on which a norm is defined. A norm is a generalization of the intuitive notion of "length" in the physical world. If
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metric space
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topological space
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linear map
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complete metric space
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weak topology
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continuous function
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Euclidean space
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norm
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inner product space
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bilinear map
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open mapping theorem
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seminorm
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locally convex space
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neighborhood system
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reflexive space
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convex cone
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mathematics
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International Standard Book Number
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complex number
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real number
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