Abstract
The invariant subspace problem asks whether every bounded linear operator on a separable complex Hilbert space has a nontrivial invariant subspace. This problem is a long-standing open problem. This note concerns the invariant subspace problem for hyponormal operators. We give three strategies towards an affirmative answer to that problem.
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Acknowledgements
The authors are grateful to the referee for valuable suggestions.
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KIAS Individual Grant (SP094801) via the Center for Mathematical Challenges at Korea Institute for Advanced Study.
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Hyoung Joon Kim and Woo Young Lee wrote the main manuscript text. All authors reviewed the manuscript.
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Kim, H.J., Lee, W.Y. A Note on the Invariant Subspace Problem. Complex Anal. Oper. Theory 18, 100 (2024). https://doi.org/10.1007/s11785-024-01548-8
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DOI: https://doi.org/10.1007/s11785-024-01548-8