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arxiv: 1801.00490 · v2 · pith:P6IOEIDVnew · submitted 2018-01-01 · 🧮 math.FA · math.SP

Hybrid normed ideal perturbations of n-tuples of operators II: weak wave operators

classification 🧮 math.FA math.SP
keywords operatorshybrididealnormedperturbationsn-tuplesprovewave
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We prove a general weak existence theorem for wave operators for hybrid normed ideal perturbations. We then use this result to prove the invariance of Lebesgue absolutely continuous parts of n-tuples of commuting hermitian operators under hybrid normed ideal perturbations from a class studied in the first paper of this series.

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