Cyclic vectors of a cyclic operator span the space
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- by L. Gehér
- Proc. Amer. Math. Soc. 33 (1972), 109-110
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290131-4
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Abstract:
If a bounded linear operator on a Banach space has a cyclic vector, then the set of cyclic vectors spans the space.References
- Béla Sz.-Nagy and Ciprian Foiaş, Vecteurs cycliques et quasi-affinités, Studia Math. 31 (1968), 35–42 (French). MR 236756, DOI 10.4064/sm-31-1-35-42
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 109-110
- MSC: Primary 47.10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290131-4
- MathSciNet review: 0290131