The Invariant Subspace Problem for Separable Hilbert Spaces
In this paper, we prove that every bounded linear operator on a separable Hilbert space has a non-trivial invariant subspace. This answers the well-known invariant subspace problem.
Authors
- Waseem Ghazi Alshanti (ORCID: https://orcid.org/0000-0002-6403-3448)
- A. Yousef (ORCID: https://orcid.org/0000-0002-7514-4813)
- Roshdi Khalil (ORCID: https://orcid.org/0000-0003-0684-5867)
- Ma’mon Abu Hammad (ORCID: https://orcid.org/0000-0003-1099-3600)
Institutions
- University of Jordan (JO)
- Al-Zaytoonah University of Jordan (JO)
- American University of Sharjah (AE)
Publication Details
- Journal
- Axioms
- Published
- 2024-09-02
- DOI
- https://doi.org/10.3390/axioms13090598
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00