Work

The Invariant Subspace Problem for Separable Hilbert Spaces

Year: 2024

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms13090598

Authors: Roshdi Khalil, Abdelrahman Yousef, Waseem Ghazi Alshanti, Ma’mon Abu Hammad

Institutions: University of Jordan, American University of Sharjah, Al-Zaytoonah University of Jordan

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4402123507

FWCI: 0.765

Cites: 19

Cited by: 1

Related to: 10