Additivity of Jordan *-maps between operator algebras (Q1091568)
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scientific article; zbMATH DE number 4011208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Additivity of Jordan *-maps between operator algebras |
scientific article; zbMATH DE number 4011208 |
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Additivity of Jordan *-maps between operator algebras (English)
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1986
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Let M be a unital \(C^*\)-algebra and let N be an associative *-algebra. A bijection \(\phi\) from M to N which preserves the Jordan structure and the involution is said to be a Jordan *-map. The authors show that if M has a system of \(n\times n\) matrix units (n\(\geq 2)\) then every Jordan *- map is additive.
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unital \(C^ *\)-algebra
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associative *-algebra
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Jordan structure
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Jordan *-map
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