Notions of absolutely continuous subspace for nonselfadjoint operators

Roman Romanov

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arXiv · 0711.3557

Notions of absolutely continuous subspace for nonselfadjoint operators

Roman Romanov

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Abstract

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.

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BibTeX RIS

Roman Romanov. 2008-06-11. Notions of absolutely continuous subspace for nonselfadjoint operators. https://arxiv.org/abs/0711.3557

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