Operator theory induced by powers of the de Branges-Rovnyak kernel and its application

2020/07/22 by Shuhei Kuwahara, Kuwahara, Shuhei, Michio Seto +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #Primary 30H45 #Secondary 15B48 #Spectral Theory in Mathematical Physics #math.FA #msc:15B48 #msc:30H45

paper · pdf · doi:10.48550/arxiv.2007.11217

11 pages

openalex publication_date 2020/07/22 · arxiv created 2021/08/26 · arxiv updated 2021/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we give a new property of de Branges-Rovnyak kernels. As the main theorem, it is shown that the exponential of de Branges-Rovnyak kernel is strictly positive definite if the inner part of the corresponding Schur class function is nontrivial.

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