Joint reducing subspaces and orthogonal decompositions of operators in an annulus

2023/12/14 by Sourav Pal, Pal, Sourav, Nitin Tomar +1
Mathematics · #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2312.08812

openalex publication_date 2023/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A commuting tuple of Hilbert space operators (T₁, \dotsc, T_n) is said to be an \textit\mathbbA_rⁿ-contraction if the closure of the polyannulus \[ \mathbb A_rⁿ=\(z₁, \dotsc, z_n) : r<|z_i|<1, 1 ≤ i ≤ n \ ⊆ ℂⁿ (0

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