Dynamical Systems under Aluthge transforms

2022/09/16 by Linh M. Tran, Tran, Linh
Mathematics · #37C20 #47B37 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA) #Primary: 47A15 #Secondary: 47B49 #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2209.07665

openalex publication_date 2022/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we verify that the bounded shadowing property and quasi-hyperbolicity of bounded linear operators on Hilbert spaces are preserved under Aluthge transforms.

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