Convergence of an operator series |
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Authors: | J. J. Koliha |
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Affiliation: | (1) Department of Mathematics, University of California, 90024 Los Angeles, California, USA |
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Abstract: | The paper gives a necessary and sufficient condition on the spectrum of a bounded linear operator on Banach space for the convergence of the series 0T(I-T2)n. Some properties of the sum are investigated. |
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Keywords: | Primary 47A99, 47A50 Secondary 47A10, 65J05 |
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