Notions of absolutely continuous subspace for nonselfadjoint operators

Details Notions of absolutely continuous subspace for nonselfadjoint operators Notions of absolutely continuous subspace for nonselfadjoint operators

2007-11-22

arxiv.org/abs/0711.3557v2

Mathematics

Functional Analysis

13 pages; a counterexample to the duality problem for spectral components has been added

Scientific paper

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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