An invariant subspace theorem
Author:
Mary R. Embry
Journal:
Proc. Amer. Math. Soc. 32 (1972), 331-332
MSC:
Primary 47.35
DOI:
https://doi.org/10.1090/S0002-9939-1972-0288610-9
MathSciNet review:
0288610
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Abstract | References | Similar Articles | Additional Information
Abstract: A continuous linear operator on a complex Banach space of dimension greater than 1 which is strictly cyclic with respect to its commutant is shown to have a nontrivial closed invariant subspace.
- [1] Alan Lambert, Strictly cyclic operator algebras, Pacific J. Math. 39 (1971), 717–726. MR 0310664
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0288610-9
Keywords:
Banach space,
commutant,
strictly cyclic,
invariant subspace
Article copyright:
© Copyright 1972
American Mathematical Society
