Grothendieck's theorem and factorization of operators in Jordan triples (Q1105159)
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scientific article; zbMATH DE number 4058215
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Grothendieck's theorem and factorization of operators in Jordan triples |
scientific article; zbMATH DE number 4058215 |
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Grothendieck's theorem and factorization of operators in Jordan triples (English)
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1989
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The authors show an alternative approach to Grothendieck's theorem for JB *-triples and prove that any operator from a JB *-triple to a finite cotype Banach space factors through an interpolation space \(L_{q1(\phi)}\) associated with a function \(\phi\) of J, extending \textit{G. Pisier}'s factorization theorem for C *-algebras [Publ. Am. Math. Soc. CBMS 60, Amer. Math. Soc. (1986)].
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Grothendieck's theorem for \(JB^*\)-triples
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Pisier's factorization theorem
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