Hyers–Ulam stability of unbounded closable operators in Hilbert spaces
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 block matrix in order to have the Hyers–Ulam stability.
Authors
- P. Sam Johnson (ORCID: https://orcid.org/0000-0003-3461-5380)
- R. N. Mohapatra (ORCID: https://orcid.org/0000-0002-5502-3934)
- Arup Majumdar (ORCID: https://orcid.org/0009-0004-4812-0535)
Institutions
- University of Central Florida (US)
- National Institute of Technology Karnataka (IN)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-08-12
- DOI
- https://doi.org/10.1002/mana.202300484
- Citations
- 1
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- Mohapatra Family Foundation
- Science and Engineering Research Board