2020/06/22 by А. Р. Миротин, A. R. Mirotin, Mirotin, A. R.
Mathematics · #43A17 #47B35 #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.FA #msc:43A17 #msc:47B35
paper · pdf · doi:10.48550/arxiv.2006.12474
In Russian (English Abstract)
arxiv created 2020/06/22 · openalex publication_date 2020/06/22 · arxiv updated 2020/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider compact and connected Abelian group G with a linearly ordered dual. Based on the description of the structure of compact Hankel operators over G, generalizations of the classical Kronecker, Hartman, Peller and Adamyan-Arov-Krein theorems are obtained. A generalization of Burling's invariant subspace theorem is also established. Applications are given to Hankel operators over discrete groups