Tensor products,asymptotic intertwinings and property (R) |
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Authors: | B P Duggal |
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Institution: | 1. 8 Redwood Grove, Northfield Avenue, Ealing, London, W5 4SZ, UK
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Abstract: | A Banach space operator satisfies property (R) if the set of its finite multiplicity isolated eigenvalues equals the set of its finite rank left poles. Property (R) transfers from operators A and B to their tensor product A?B. Asymptotic intertwining by the identity operator does not preserve property (R). Additional hypotheses are required. |
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