Prove that the vector space of linear transformations of the space V with the operator norm is a normed linear space. **Hint:
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Prove that the vector space of linear transformations of the space V with the operator norm is a normed linear

space.

**Hint: for part of the proof II(A+B)vII=IIAv+BvII ≤ IIAvII + IIBvII) **

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