Well-bounded and scalar-type spectral operators on spaces not containing $c_ 0$
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- by Ian Doust PDF
- Proc. Amer. Math. Soc. 105 (1989), 367-370 Request permission
Abstract:
It is known that a necessary and sufficient condition for a well-bounded operator on a weakly complete complex Banach space to be scalar-type spectral is that its decomposition of the identity be of bounded variation. We show in this paper that this condition is necessary and sufficient exactly when the Banach space does not contain a subspace isomorphic to ${c_0}$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 367-370
- MSC: Primary 47B40
- DOI: https://doi.org/10.1090/S0002-9939-1989-0939963-X
- MathSciNet review: 939963