English

Hyers-Ulam Stability of Unbounded Closable Operators in Hilbert Spaces

Functional Analysis 2024-03-12 v1

Abstract

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 2×22 \times 2 block matrix A\mathcal A in order to have the Hyers-Ulam stability.

Keywords

Cite

@article{arxiv.2403.06477,
  title  = {Hyers-Ulam Stability of Unbounded Closable Operators in Hilbert Spaces},
  author = {Arup Majumdar and P. Sam Johnson and Ram N. Mohapatra},
  journal= {arXiv preprint arXiv:2403.06477},
  year   = {2024}
}

Comments

21 pages