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Recall the definition of P(R) on page 10. Define T:P(JJ)-P(Jl) by T(/(x)) = f(t)dt

Chapter 2, Problem 15

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QUESTION:

Recall the definition of P(R) on page 10. Define T:P(JJ)-P(Jl) by T(/(x)) = f(t)dt. Prove that T linear and one-to-one. but not onto.

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QUESTION:

Recall the definition of P(R) on page 10. Define T:P(JJ)-P(Jl) by T(/(x)) = f(t)dt. Prove that T linear and one-to-one. but not onto.

ANSWER:

Step 1 of 3

T is linear if it satisfies the following conditions:

     1.  

     2.  

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