(b) Let X = C[0, 1], be the the space of continuous functions on the interval [0, 1].Consider X with the norm= max |x(1)).ref0,1]Show that the subspace Y (x e C[0, 1]: x(0)2x(1)} is complete.%3!

The given problem is related to a normed space of continuous functions on an interval. Given:…

Answered: (b) Let X C[0, 1], be the the space of…

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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(b) Let X C[0, 1], be the the space of continuous functions on the interval [0, 1]. %3D Consider X with the norm = max |x(1). re[0,1) Show that the subspace Y = (x € C[0, 1] : x(0) = 2.x(1)} is complete. %3!