Krein \(H^*\)-triple systems (Q1849324)
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scientific article; zbMATH DE number 1836977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Krein \(H^*\)-triple systems |
scientific article; zbMATH DE number 1836977 |
Statements
Krein \(H^*\)-triple systems (English)
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1 December 2002
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The authors study Krein \(H^*\)-triples systems. They introduce the \(J\)-norm, ideals and tripotents to show, e.g., that the triple product is norm continuous. Semisimple Krein \(H^*\)-triple systems are shown to be an orthogonal direct sum of simple such systems. Separable Krein \(H^*\)-triple systems are discussed. The paper provides a reasonable amount of examples of non-trivial triple systems.
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Krein space
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triple systems
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indefinite inner product spaces
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