Work

Solution of Invariant Subspace Problem in the Hilbert space

Year: 2013

Type: preprint

Abstract: By applying methods of Duhamel algebra and reproducing kernels, we prove that every linear bounded operator on the Hardy-Hilbert space H^{2}(D) has a nontrivial invariant subspace. This solves affirmatively the Invariant Subspace Problem in the Hilbert space.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1310.8055

Author: Garayev, Mübariz

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1574907406

Cites: 6

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Related to: 10