Question: Let X, Y, Z be linear spaces. The set BL(Y, Z) of all bounded linear functions from Y to Z is a linear space (exercise

Let X, Y, Z be linear spaces. The set BL(Y, Z) of all bounded linear functions from Y to Z is a linear space (exercise 3.33). Let BL(X, BL(Y, Z)) denote the set of bounded linear functions from X to the set BL(Y, Z). Show that
1. BL(X, BL(Y, Z)) is a linear space.
2. Let

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1 is a linear space and therefore so is 2 x is linear and therefore x y 1 y 2 xy 1 y ... View full answer

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