Jumping flatness and Aluthge transform of recursive weighted shifts

2020/11/04 by H. El Azhar, Azhar, H. El, K. Idrissi +3
Mathematics · Physics and Astronomy · #40A99 #44A60 #47B37 Secondary 30C15 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Dynamics and Fractals #Primary 11B99 #Quantum chaos and dynamical systems #math.FA #msc:11B99 #msc:30C15 #msc:40A99 #msc:44A60 #msc:47B37

paper · pdf · doi:10.48550/arxiv.2011.02339

15 pages

arxiv created 2020/11/04 · openalex publication_date 2020/11/04 · arxiv updated 2020/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We devote this paper to Hamburger type weighted shifts. We give in particular an affirmative answer to a problem concerning subnormality of the Aluthge transform of Hamburger moment measures with finite support. we also extend the notion flatness, jumping flatness property, introduced recently by Exner et all for Hamburger-type weighted shift and provide obtain several results related to the representing measure of such weighted shifts.

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