Bounded Linear Operator : Bounded Invertible
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11.8 Let and where a "1" appears in the n-th position and a zero in all other positions. Let (an) be a sequence of complex numbers. Prove then that
(i) ... defines a bounded linear operator on G if and only if... , and accordingly find the norm of T.
(ii) What are the necessary and sufficient conditions for T to be bounded invertible?
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Solution Summary
Bounded Linear Operator, Norm and Bounded Invertible are investigated. The solution is detailed and well presented.
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