Hyers-Ulam Stability of Unbounded Closable Operators in Hilbert Spaces

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 condit...

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Hauptverfasser: Majumdar, Arup, Johnson, P. Sam, Mohapatra, Ram N
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Sprache:eng
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Zusammenfassung: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 $2 \times 2$ block matrix $\mathcal A$ in order to have the Hyers-Ulam stability.
DOI:10.48550/arxiv.2403.06477