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The isometries of \(L^ 2(\Omega,X)\) - MaRDI portal

The isometries of \(L^ 2(\Omega,X)\) (Q1825408)

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scientific article; zbMATH DE number 4120801
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The isometries of \(L^ 2(\Omega,X)\)
scientific article; zbMATH DE number 4120801

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    The isometries of \(L^ 2(\Omega,X)\) (English)
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    1989
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    Let X be a complex Banach space which is not 1-dimensional and is separable with trivial \(L^ 2\)-structure. Let (\(\Omega\),\(\Sigma\),\(\mu)\) be \(\sigma\)-finite. There are established forms of the hermitian operators and isometries on \(L^ 2(\Omega,X)\).
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    trivial \(L^ 2\)-structure
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