1. Let H be a Hilbert space, T = B(H) and define W(T) = {(x, Tx) | |x| = 1}. (a) Show that o(T) < W(T). (b) Give an exam

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1 Let H Be A Hilbert Space T B H And Define W T X Tx X 1 A Show That O T W T B Give An Exam 1 (10.45 KiB) Viewed 23 times

1. Let H be a Hilbert space, T = B(H) and define W(T) = {(x, Tx) | |x| = 1}. (a) Show that o(T) < W(T). (b) Give an example that W(T) does not have to be closed.