Consider the linear space C[0, 1] equipped with the norm|| ||= max f(t)|.te[0,1)Prove that there is no inner product on C[0, 1] agreed with this norm.

Given: The linear space C0,1 equipped with the norm, f=maxt∈0,1ft To prove: There is no inner…

Answered: Consider the linear space C[0, 1]…

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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Consider the linear space C[0, 1] equipped with the norm ||f || = max |f(t)|. te[0,1] Prove that there is no inner product on C[0, 1] agreed with this norm.