Consider L[-1, 1] with the essential sup-norm (see Definition Question 1. 3.2.12). Show that the essential sup-norm cannot be induced by an inner product.
Consider L[-1, 1] with the essential sup-norm (see Definition Question 1. 3.2.12). Show that the essential sup-norm cannot be induced by an inner product.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 6E: 6. In Example 3 of section 3.1, find elements and of such that but .
From Example 3 of section 3.1:...
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Question
Consider L
∞[−1, 1] with the essential sup-norm (see Definition
3.2.12). Show that the essential sup-norm cannot be induced by an inner product.
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