Consider the normed space C([a,b]), the set of all integrable functions defined on [a,b], with the...

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Consider the normed space C([a,b]), the set of all integrable functions defined on [a,b], with the norm 1/1 = {(1156x) x . dx Let T:C([a,b])R defined by Tf=f(x)dx (i) Show that T is a bounded linear operator. (ii) Find T Consider the normed space C([a,b]), the set of all integrable functions defined on [a,b], with the norm 1/1 = {(1156x) x . dx Let T:C([a,b])R defined by Tf=f(x)dx (i) Show that T is a bounded linear operator. (ii) Find T