Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

4.5 Show that the norm || . || on C[0,2] does not come from an inner product. Hint: show that the norm || .

image

4.5 Show that the norm || . || on C[0,2] does not come from an inner product. Hint: show that the norm || . || does not satisfy the parallelogram law, e.g., for f(x) = = {2- if x = [0,1], if x = [1,2], 1 X if x = [0,1], g(x) = X - 1 if x = [1,2]. The function f is a so-called B-spline, see Chapter 10.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Applied Linear Algebra

Authors: Peter J. Olver, Cheri Shakiban

1st edition

131473824, 978-0131473829

More Books

Students also viewed these Mathematics questions

Question

2. Explain the concepts of association and covariation.

Answered: 1 week ago