I need the answer as soon as possible 8. Let P[0, 1] denote the complex vector space of all complex valued polynomials defined on [0, 1]. Thiscan be viewed as a linear subspace of C[0, 1]. Show that the two norms|| fllo = sup lf(t)|te[0,1]||f||1 =|f(t)| dtandare not equivalent on P(0, 1].

Answered: Image /qna-images/answer/92e6d591-6dc5-4105-9875-2ad95a403cfe.jpg

Answered: 8. Let P[0, 1] denote the complex…

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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8. Let P[0, 1] denote the complex vector space of all complex valued polynomials defined on [0, 1]. This can be viewed as a linear subspace of C[0, 1]. Show that the two norms ||fll = sup f(t)| te[0,1] and I|f||1 = are not equivalent on P[0, 1].