Hyers-Ulam Stability of Unbounded Closable Operators in Hilbert Spaces

2024/03/11 by Arup Majumdar, Majumdar, Arup, P. Sam Johnson +3
Mathematics · #47A05 #47A10 #47A55 #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2403.06477

openalex publication_date 2024/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss the Hyers-Ulam stability of closable (unbounded) operators with several interesting examples. We also present results pertaining to the Hyers-Ulam stability of the sum and product of closable operators to have the Hyers-Ulam stability and the necessary and sufficient conditions of the Schur complement and the quadratic complement of 2 × 2 block matrix \mathcal A in order to have the Hyers-Ulam stability.

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