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12 June 2024
11 June 2024
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N 23:56 | Gelfand-Mazur Theorem 3 changes history +2,140 [Prime.mover; Caliburn (2×)] | |||
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23:56 (cur | prev) +110 Prime.mover talk contribs | ||||
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17:33 (cur | prev) +85 Caliburn talk contribs | ||||
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17:31 (cur | prev) +1,945 Caliburn talk contribs (Created page with "== Theorem == <onlyinclude> Let $\struct {A, \norm {\, \cdot \,} }$ be a normed algebra over $\C$ where: :$\map G A = A \setminus \set { {\mathbf 0}_A}$ where $\map G A$ is the group of units of $A$. Then $A$ is isometrically isomorphic to $\C$. </onlyinclude> == Proof == Define $\theta : \C \to A$ by: :$\map \theta \lambda = \lambda {\mathbf 1}_A$ for each $\lambda \in...") | |||