Algebraic conditions for a function on an abelian group

✍ Scribed by Stanley P. Gudder

• Publisher: Springer
• Year: 1979
• Tongue: English
• Weight: 273 KB
• Volume: 3
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00400067

✦ Synopsis

We characterize functions on an Abelian group which satisfy certain algebraic conditions. We then apply this result to obtain generalizations of the Jordan--von Neumann theorem on quadratic forms. These last results are then used to prove a theorem on observable systems in axiomatic quantum mechanics.