Rank one and finite rank perturbations - survey and open problems

Constanze Liaw

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arXiv · 1205.4376

Rank one and finite rank perturbations - survey and open problems

Constanze Liaw

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Abstract

We survey the relationships of rank one self-adjoint and unitary perturbations as well as finite rank unitary perturbations with various branches of analysis and mathematical physics. We include the case of non-inner characteristic operator functions. For rank one perturbations and non-inner characteristic functions, we prove a representation formula for the adjoint of the Clark operator. Throughout we mention many open problems at varying levels of difficulty.

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BibTeX RIS

Constanze Liaw. 2012-05-20. Rank one and finite rank perturbations - survey and open problems. https://arxiv.org/abs/1205.4376

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