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Convergence of an operator series
Authors:J. J. Koliha
Affiliation:(1) Department of Mathematics, University of California, 90024 Los Angeles, California, USA
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 sum0infinT(I-T2)n. Some properties of the sum are investigated.
Keywords:Primary 47A99, 47A50  Secondary 47A10, 65J05
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