Notions of absolutely continuous subspace for nonselfadjoint operators

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We give an example of an operator with different weak and strong absolutely continuous subspaces, and a counterexample to the duality problem for the spectral components. Both examples are optimal in the scale of compact operators.
13 pages; a counterexample to the duality problem for spectral components has been added

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Functional Analysis, Mathematical Physics, 47A65; 47B44

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http://salesiana.dossiersoluciones.com/handle/123456789/162574

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.3557
 http://arxiv.org/abs/0711.3557

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arXiv