Hyers-Ulam stability of closed linear relations in Hilbert spaces
Functional Analysis
2025-01-28 v1
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.
Cite
@article{arxiv.2501.15204,
title = {Hyers-Ulam stability of closed linear relations in Hilbert spaces},
author = {Arup Majumdar},
journal= {arXiv preprint arXiv:2501.15204},
year = {2025}
}