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hyperplane (Definition)

Let $ E$ be a linear space. A hyperplane $ H$ is defined as the set of the form $ H=\{x\in E:f(x)=a\}$ where $ a \in \mathbb{R}$ and $ f$ is a linear functional, $ f \colon E \to \mathbb{R}$.



"hyperplane" is owned by georgiosl.
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hyperplane separation (Theorem) by stevecheng
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Cross-references: linear functional, linear space
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This is version 4 of hyperplane, born on 2005-05-10, modified 2007-06-18.
Object id is 7035, canonical name is Hyberplane.
Accessed 1784 times total.

Classification:
AMS MSC: 46H05 (Functional analysis :: Topological algebras, normed rings and algebras, Banach algebras :: General theory of topological algebras)
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