On operators with rational resolvent
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- by Anthony F. Ruston PDF
- Proc. Amer. Math. Soc. 32 (1972), 329-330 Request permission
Abstract:
It is shown that a bounded linear operator T on a complex Banach space into itself has a rational resolvent if and only if every bounded linear operator which commutes with every bounded linear operator that commutes with T can be expressed as a polynomial in T.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 329-330
- MSC: Primary 47A10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0301527-6
- MathSciNet review: 0301527