2016/11/20 by А. Р. Миротин, A. R. Mirotin, Mirotin, A. R. +2
Mathematics · #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.FA
paper · pdf · doi:10.48550/arxiv.1611.06564
in Russian
arxiv created 2016/11/20 · openalex publication_date 2016/11/20 · arxiv updated 2016/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two variants of generalizations of Hankel operators to the case of linearly ordered abelian groups are considered, criteria of the boundedness and compactness of these operators are given, among them in terms of functions of bounded mean oscillation, the nonfredholmness of generalized Hankel operators is proved. Some applications to the theory of Toeplitz operators on groups are given.