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Axioms
Article . 2024 . Peer-reviewed
License: CC BY
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Axioms
Article . 2024
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Article . 2024
Data sources: DBLP
Multidisciplinary Digital Publishing Institute
Other literature type . 2024
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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The Invariant Subspace Problem for Separable Hilbert Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 02 Sep 2024 English Publisher:MDPI AGJournal:Axioms, volume 13, page 598 (eissn: 2075-1680, Copyright policy )
Authors: Roshdi Khalil; Abdelrahman Yousef; Waseem Ghazi Alshanti; Ma'mon Abu Hammad;

doi: 10.3390/axioms13090598

The Invariant Subspace Problem for Separable Hilbert Spaces

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.

Related Organizations
Keywords

invariant subspace problem, orthogonal complement, QA1-939, orbits of operators, separable Hilbert space, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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