A geometric equivalent of the invariant subspace problem
HTML articles powered by AMS MathViewer
- by Eric A. Nordgren, Heydar Radjavi and Peter Rosenthal PDF
- Proc. Amer. Math. Soc. 61 (1976), 66-68 Request permission
Abstract:
It is shown that every operator has an invariant subspace if and only if every pair of idempotents has a common invariant subspace.References
- Chandler Davis, Generators of the ring of bounded operators, Proc. Amer. Math. Soc. 6 (1955), 907–972. MR 73138, DOI 10.1090/S0002-9939-1955-0073138-1
- Paul R. Halmos, Normal dilations and extensions of operators, Summa Brasil. Math. 2 (1950), 125–134. MR 44036
- Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77, Springer-Verlag, New York-Heidelberg, 1973. MR 0367682
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 66-68
- MSC: Primary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0430822-9
- MathSciNet review: 0430822