Zero product preservers and orthogonality preservers in algebras of unbounded operators

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Applying a result of abstract ring theory we get that bijective additive mappings on standard algebras of unbounded operators preserving zero products are multiples of ring isomorphisms. The structure of additive bijective mappings on certain classes of standard algebras of unbounded operators preserving orthogonality in both directions is also investigated. The results are quite similar to those for algebras of bounded operators

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Operator Algebras, 47L60

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http://salesiana.dossiersoluciones.com/handle/123456789/74481

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503255
 http://arxiv.org/abs/math/0503255

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arXiv