On the relation between S-spectrum and right spectrum

2023/03/09 by LuÍs Carvalho, Carvalho, LuÍs, Cristina Diogo +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2303.05335

openalex publication_date 2023/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We use the ℝ-linearity of Iλ-T to define σ(T), the right spectrum of a right ℍ-linear operator T in a right quaternionic Hilbert space. We show that σ(T) coincides with the S-spectrum σ_S(T).

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