Extreme points and isometries of \(\phi\)-nuclear operators in Hilbert spaces (Q1813908)
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scientific article; zbMATH DE number 5341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extreme points and isometries of \(\phi\)-nuclear operators in Hilbert spaces |
scientific article; zbMATH DE number 5341 |
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Extreme points and isometries of \(\phi\)-nuclear operators in Hilbert spaces (English)
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25 June 1992
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The author studies \(\varphi\)-nuclear operators in Banach spaces, where \(\varphi\) is a subadditive positive function with \(\varphi(0)=0\), generalizing the case of the \(p\)-nuclear maps for \(p\leq 1\). This class \(N_ \varphi\) is stable under the \(\varepsilon\)-tensor product and has all operators as its adjoint. In the case of Hilbert spaces \(H\), extreme points of the (nonconvex) unit ball of \(N_ \varphi(H)\) are studied.
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\(\varphi\)-nuclear operators in Banach spaces
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subadditive positive function
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\(\varepsilon\)-tensor product
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extreme points of the (nonconvex) unit ball
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