Functional equations on A-orthogonal vectors (Q1822701)
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scientific article; zbMATH DE number 4113191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional equations on A-orthogonal vectors |
scientific article; zbMATH DE number 4113191 |
Statements
Functional equations on A-orthogonal vectors (English)
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1989
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The conditional functional equations \(f(x+y)=f(x)+f(y)\) and \(f(x+y)+f(x- y)=2f(x)+2f(y)\) for \(x,y\in H/x\perp_ Ay\), are studied in the real and in the complex case. It would be interesting to check if the results may have any physical implication and/or application.
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A-orthogonal vectors
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Cauchy functional equation
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quadratic functional equation
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Hilbert space
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conditional functional equations
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