Ring isomorphisms and linear or additive maps preserving zero products on nest algebras (Q1434402)
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scientific article; zbMATH DE number 2081252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ring isomorphisms and linear or additive maps preserving zero products on nest algebras |
scientific article; zbMATH DE number 2081252 |
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Ring isomorphisms and linear or additive maps preserving zero products on nest algebras (English)
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4 August 2004
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In this paper, the autors show that every ring isomorphism between norm closed standard subalgebras of nest algebras acting on infinite-dimensional Banach spaces is either a spatial isomorphism or a spatial conjugate isomorphism. This is then used to characterize the linear or additive maps between nest algebras which preserve zero products.
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additive preservers
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zero products
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standard operator algebras
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