Linear isometries of some function algebras (Q931314)
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scientific article; zbMATH DE number 5292679
| Language | Label | Description | Also known as |
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| English | Linear isometries of some function algebras |
scientific article; zbMATH DE number 5292679 |
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Linear isometries of some function algebras (English)
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25 June 2008
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Summary: Linear isometries of a class of logmodular algebras which are generated by unimodular functions are represented by Holsztyński-type weighted composition operators. The description of these operators leads -- among other things -- to a characterization of the linear isometries of the disc algebra and of the Hardy space of all bounded holomorphic functions on the open unit disc of \(\mathbb C\). Spectral properties of these isometries are also investigated.
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logmodular algebra
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Shilov boundary
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inner functions
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