On general construct of chaotic unbounded linear operators in Banach Spaces with Schauder Bases

2018/12/06 by Marat V. Markin, Markin, Marat V.
Mathematics · #47A16 (Primary) #47B15 (Secondary) #47B40 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1812.02294

openalex publication_date 2018/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We utilize the idea underlying the construct of the classical weighted backward shift Rolewicz's operators to furnish a straightforward approach to a general construct of chaotic unbounded linear operators in a (real or complex) Banach space with a Schauder basis.

Citations

• On the chaoticity and spectral structure of Rolewicz-type unbounded operators

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