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1. Let X be a Banach space and let T be a bounded linear operator on X. Show that if ||T|| < 1, then
1. Let X be a Banach space and let T be a bounded linear operator on X. Show that if ||T|| < 1, then I - T has a bounded inverse (I-T)- on X and it holds that 0 1 (I T)- = TN, ||(I - T) -`' || 1 - ||T|| | N=0 Here the series o TN converges in B(X). N=0
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Essentials Of Business Statistics
Authors: Bruce Bowerman, Richard Connell, Emily Murphree, Burdeane Or
5th Edition
978-1259688867, 1259688860, 78020530, 978-0078020537
