Hyers–Ulam stability of unbounded closable operators in Hilbert spaces

Pub Date : 2024-08-12 DOI:10.1002/mana.202300484
Arup Majumdar, P. Sam Johnson, Ram N. Mohapatra
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Abstract

In this paper, we discuss the Hyers–Ulam stability of closable (unbounded) operators with some 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 $2 \times 2$ block matrix A $\mathcal {A}$ in order to have the Hyers–Ulam stability.

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希尔伯特空间中无界可闭算子的海尔-乌兰稳定性
本文通过一些实例讨论了可闭(无界)算子的海尔-乌兰稳定性。我们还提出了与可闭算子的和与积的海尔-乌兰稳定性相关的结果,以及具有海尔-乌兰稳定性的舒尔补和块矩阵二次补的必要条件和充分条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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