The following definition is used in Exercises 24 27. Definition. Let V be a vector space

Chapter 6, Problem 24

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The following definition is used in Exercises 24 27. Definition. Let V be a vector space over F, where F is either R or C. Regardless of whether V is or is not an inner product space, we may still define a norm. \\ || as a. real-valued function on V satisfying the following three conditions for all x. y C V and a E F:

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