Hyers–Ulam stability of unbounded closable operators in Hilbert spaces
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Date
2024
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Publisher
John Wiley and Sons Inc
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 (Formula presented.) block matrix (Formula presented.) in order to have the Hyers–Ulam stability. © 2024 Wiley-VCH GmbH.
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Keywords
closable operator, closed range operator, Hyers–Ulam stable operator
Citation
Mathematische Nachrichten, 2024, 297, 10, pp. 3887-3903