The twisted Hilbert space ideals (Q2155701)
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scientific article; zbMATH DE number 7557747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The twisted Hilbert space ideals |
scientific article; zbMATH DE number 7557747 |
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The twisted Hilbert space ideals (English)
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15 July 2022
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The main gol of the paper is to study of the twisted Hilbert space ideals, mainly the operators defined on a Hilbert space which can be lifted or extended to any twisted Hilbert space. The authors show that this class becomes ideal of operators and contains all the Schatten classes. As a special case, an amportante characterization of liftable (extensible) multiplication operators on \(\ell _{p}\) through centralizers is given.
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Hilbert space
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twisted Hilbert spaces
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extension and lifting of operators
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operator ideal
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Schatten classes
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short exact sequence
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quasilinear map
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centralizer
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