Details

Autor(en) / Beteiligte

• Cuenca Mira, José Antonio
• Miguel García, Francisca

Titel

On a Theorem by Hopf

Ist Teil von

• Linear algebra and its applications, 2018-09, Vol.552, p.42-51

Ort / Verlag

Amsterdam: Elsevier Inc

Erscheinungsjahr

2018

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We prove that the commutative nearly absolute valued division algebras have dimension ≤2. This extends a well-known theorem by H. Hopf asserting the same property for each commutative real division algebra of finite dimension. As an application we prove that R, C and C⋆ are the unique commutative real nearly absolute valued division algebras with norm satisfying ‖x2‖=‖x‖2.