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arXiv · 2501.15204

Hyers-Ulam stability of closed linear relations in Hilbert spaces

Arup Majumdar
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Abstract

This paper introduces the concept of Hyers-Ulam stability for linear relations in normed linear spaces and presents several intriguing results that characterize the Hyers-Ulam stability of closed linear relations in Hilbert spaces. Additionally, sufficient conditions are established under which the sum and product of two Hyers-Ulam stable linear relations remain stable.

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Arup Majumdar. 2025-01-25. Hyers-Ulam stability of closed linear relations in Hilbert spaces. https://arxiv.org/abs/2501.15204

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