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arXiv · 1706.09400

Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations

Luis O. Silva·Julio H. Toloza
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Abstract

We derive a description of the family of canonical selfadjoint extensions of the operator of multiplication in a de Branges space in terms of singular rank-one perturbations using distinguished elements from the set of functions associated with a de Branges space. The scale of rigged Hilbert spaces associated with this construction is also studied from the viewpoint of de Branges's theory.

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Luis O. Silva, Julio H. Toloza. 2017-06-28. Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations. https://doi.org/10.1080/17476933.2018.1536701

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