Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\) (Q1196259)
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scientific article; zbMATH DE number 78087
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\) |
scientific article; zbMATH DE number 78087 |
Statements
Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\) (English)
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15 December 1992
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The authors show that the (normalized) weighted composition operators are precisely the surjective isometries on \(L^ 1\cap L^ \infty\) and \(L^ 1+L^ \infty\) (over \([0,\infty)\)).
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weighted composition operators
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surjective isometries
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