‏صورة من علي Exercise 1.2.11 Over the space C¹[0, 1], determine which of the followingis a norm, and which is only a semi-norm:(a) max |u(x)\;0<<1

We need to determine whether u=max0≤x≤1ux is a norm or a semi norm on the space C10,1.

Answered: Exercise 1.2.11 Over the space C¹[0,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Exercise 1.2.11 Over the space C¹[0, 1], determine which of the following is a norm, and which is only a semi-norm: (a) max u(x); 0