Spectrum of Weighted Composition Operators. Part X. The spectrum and essential spectra of weighted automorphisms of the polydisc algebra

2024/04/27 by Arkady Kitover, Kitover, Arkady, Mehmet Orhon +1
Mathematics · #46B60 #47B33 #47B48 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2404.17987

openalex publication_date 2024/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the spectrum and the essential spectra of weighted automorphisms of the polydisc algebra \mathbbAⁿ. In the case n=2 we provide a detailed and, in most cases, complete description of these spectra.

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