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Suppose that there exists c> 0 such that |(Tr, r)|2 c |r||2 for every r E H. (i) Show thatT is bounded below and
Suppose that there exists c> 0 such that |(Tr, r)|2 c |r||2 for every r E H. (i) Show thatT is bounded below and ran T is dense in H. (ii) Show that T is invertible in B(H) and ||T-|| sc.
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Probability And Statistics
Authors: Morris H. DeGroot, Mark J. Schervish
4th Edition
9579701075, 321500466, 978-0176861117, 176861114, 978-0134995472, 978-0321500465
